PUBLICATIONS 



2017

Papers in Refereed Journals

  • ''On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via [0,\infty) transformed sequences'', Choque-Rivero A.E., Maedler C., Complex Analysis and Operator Theory (2017), p. 1-44, DOI: 10.1007/s11785-017-0655-7.

  • ''On the solution set of the admissible control problem via orthogonal polynomials''
    Choque-Rivero A.E.
    IEEE Transactions on Automatic Control, (2017), DOI: 10.1007/s11785-017-0655-7

  • ''Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices''
    Choque-Rivero A.E., Luis Gaona.
    Russian Mathematics Izv.Vuz., (2017) accepted

  • ''A note on the existence and construction of Dulac functions''
    Osuna Osvaldo, Rodríguez-Ceballos J., Vargas-De-León Cruz, Villaseñor-Aguilar G.
    Nonlinear Analysis: Modelling and Control, Vol. (22), 4, (2017), 431-440.

Refereed Conference Papers

  • ''On Korobov's Admissible Maximum Principle'' 
    Choque Rivero, A.E.; Pedro Luis Castulo Cruz
    2016 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC 2016) Ixtapa, Mexico, IEEE Xplore (2017) DOI: 10.1109/ROPEC.2016.7830634.

 


2016

Papers in Refereed Journals

  • '' Factorization of the transition matrix for the general Jacobi system'' 
    Aktuson T., Choque-Rivero A.E.
    Mathematical Methods in the Applied Science (2016), p. 1-9, DOI: 10.1002/mma.4112.

  • ''Dyukarev-Stieltjes Parameters of the Truncated Hausdorff Matrix Moment Problem''
    Choque Rivero A.E.,
    Boletin Soc. Mat. Mexicana, (2016). DOI: 10.1007/s40590-015-0083-5, p. 1-26.

  • ''Oscillations in seasonal SIR epidemic models with saturated treatment''
    González Ramírez L. R., Osuna Osvaldo, Villavicencio Geiser.
    Revista Integración, Vol.34, (2), (2016), 125-131. 

  • ''On a class of invariant algebraic curves for Kukles systems''
    Osuna Osvaldo, Rebollo-Perdomo Salomón, Villaseñor-Aguilar Gabriel
    Electronic J. of Qualitative Theory of Differential Equations, 61, (2016), p. 1-12.

  • ''A note on the limit cycles for certain two-dimensional systems''
    Osuna Osvaldo, Santana-Medina N.
    Aportaciones Matemáticas, 50, (2016), p. 3-12.

 

Refereed Conference Papers

  • ''Dynamical inverse problem for two-velocity systems on finite trees'' 
    Avdonin S., A.S. Blagoveshchensky,Choque Rivero A. E., V.S. Mikhaylov
    International Conference Days of Diffraction 2016, June 27 - July 1, 2016, St. Petersburg, Russia, (2016), p. 1-6. ISBN: 978-1-5090-5800-6. DOI: 10.1109/DD.2016.7756807.


2015

Papers in Refereed Journals

  • ''On the inverse problem of the two-velocity tree-like graph''
    Avdonin S., Choque Rivero A.E., Leugering G., Mikhaylov V.
    Journal of Applied Mathematics and Mechanics, (2015).DOI:10.1002/zamm.201400126, p. 1-11.

  • ''On inverse problem for a convolution integro-differential operator with Robin boundary conditions''
    Buterin S., Choque Rivero A.E.,
    Applied Mathematics Letters 48, (2015). DOI:10.1016/j.aml.2015.04.003, p. 150-155.
  • ''From the Potapov to the Krein-Nudel'man Representation of the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem''
    Choque Rivero A.E.,
    Boletin Soc. Mat. Mexicana 21(2), (2015). DOI:10.1007/s40590-015-0060-z, p. 233-259.

  • ''On Dyukarev's Resolvent Matrix for a Truncated Stieltjes Matrix Moment Problem under the View of Orthogonal Matrix Polynomials''
    Choque Rivero A.E.,
    Linear Algebra and its Applications, 474 (2015), p. 44-109.

  • ''On Matrix Hurwitz Type Polynomials and its Interrelations to Stieltjes Positive Definite Sequences and Orthogonal Matrix Polynomials''
    Choque Rivero A.E.,
    Linear Algebra and its Applications, 476 (2015), p. 56-84

  • ''Matrix Perturbation of Matrix Polynomials''
    Choque Rivero A.E., Garza L.
    Integral Transforms and Special Functions, 26(3), (2015), p. 177-191.

  • '' On the existence of limit cycles for some planar vector fields'' 
    González Ramírez L. R., Osuna Osvaldo, Santaella-Forero R.
    Revista Integración, Vol. 33, (2), (2015), 191-198. 

  • '' Periodic orbits for seasonal SIRS models with non-linear incidence rates'' 
    González Ramírez L. R., Osuna Osvaldo, Santaella-Forero R.
    Electronic Journal of Diffential Eqs. Vol. 2015, (300), (2015), 1-10. 

  • '' On the limit cycles of quasihomogeneous polynomial systems'' 
    González Ramírez L. R., Osuna Osvaldo, Santaella-Forero R.
    Vol. 49, (2), (2015), 261-268.

  • ''A geometric criterion for the finite generation of the cox ring of projective surfaces''
    De la Rosa Navarro B. L., Frías-Medina J. B., Lahyane M., Mejía-Moreno I., Osuna O.,
    Revista Matemática Iberoamericana, Vol. 31, no. 4, (2015), 1131-1140.

  • '' An explicit formula for the nonstationary diffracted wave scattered on a NN-wedge''
    A.E.Navarette, A.Merzon.
    Acta Aplcandae Mathematicae, Vol. 136 N. 1, (2015), 119-145. DOI *10.1007/s10440-014-9943-7*.

  • '' On uniqueness and stability of Sobolev's solution in scattering by wedges''
    A.I. Komech, A.Merzon. J.E.De la Paz Méndez.
    J. Applied Math. ZAMP, Vol. 66, (5), (2015), 2485-2498. (DOI: 10.1007/s00033-015-0533-y)

  • ''On the Keller-Blank solution to the scattering problem of pulses by wedges'' 
    A.E.Merzon, A.I. Komech, J.E.De la Paz Méndez and T.J. Villalba Vega.
    Mathematical Methods in the Applied Sciences, Vol. 38, (10), (2005), 2035-2040.

  • ''Time-dependent scattering of generalized plane waves by wedges'' 
    A.I. Komech, A.E.Merzon, , J.E. De la Paz Méndez.
    Mathematical Methods in the Applied Sciences, Vol 38, (18), (2015), 4774-4785.

  • ''On the Behavior of the Edge Diffracted Nonstationary Wave in Scattering by Wedges Near the Front'' 
    A.E.Merzon, ,P. Zhevandrov, J.E. De la Paz Méndez.
    Mathematical Methods in the Applied Sciences, Russian Journal of Mathematical Physics, Vol. 22, N. 4, (2015), 491-503. ISSN 1061-9208.

  • ''Construction of Dulac functions for mathematical models in population biology''
    Osuna O.,Vargas-De-León Cruz.
    International Journal of Biomathematics, 8 (3), (2015), 20p.

  • ''On the construction of inverse integrating factors for planar vector fields''
    López-González Elifalet, Osuna O., Villaseñor-Aguilar G.
    Aportaciones Matemáticas, 49, (2015), 27-38.

  • ''Frames in Krein spaces arising from a non-regular W-metric''
    K. Esmeral, O. Ferrer, E. Wagner.
    Banach Journal of Mathematical Analysis, 9, (2015), 1-16.

Refered Conference Papers

  • ''On two extremal solutions of the admissible control problem with bounded controls''
    Choque Rivero A.E., Blanca de Jesus Gomez Orozco
    12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) Mexico City, Mexico October 28-30, (2015), p. 1-4. ISBN: 978-1-4673-7838-3.

 


2014

Papers in Refereed Journals

  • ''Criterion for the Complete Indeterminacy of the Nevanlinna-Pick Matrix Problem''
    Dyukarev Yu.M., Choque Rivero A.E.
    Mathematical Notes, Vol. 96, N. 5, (2014), p. 658-673.

  • ''On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials''
    Choque Rivero A.E., Maedler C.
    Complex Anal. Oper. Theory, Vol. 8, N. 8, (2014), p. 1645-1698.

  • '' On the Keller-Blank solution to the scattering problem of pulses by wedges''
    A.Merzon. A.I. Komech, J.E.De la Paz Mendez and T.J. Villalba Vega.
    Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.3202, 2014.

  • '' The pullbacks of principal coactions,''
    P. M. Hajac, E. Wagner.
    Documenta Mathematica 19 (2014), 1025-1060.

 

Refereed Conference Papers

  • ''Sobre el conjunto de soluciones del problema del control admisible de un sistema lineal con control acotado''
    Choque Rivero A.E., Paredes Barra H.
    Memorias del XVI Congreso Latinoamericano de Control Automático, IFAC, Cancún, (2014), p. 1161-1165.

  • ''Decompositions of the Blaschke--Potapov Factors of the Truncated Hausdorff Matrix Moment Problem: The Case of an Odd Number of Moments''
    Choque Rivero A.E.
    Communications in Mathematical Analysis, 17 (2), (2014), p. 66-81.

  • ''Decompositions of the Blaschke--Potapov Factors of the Truncated Hausdorff Matrix Moment Problem: The Case of an Even Number of Moments''
    Choque Rivero A.E.
    Communications in Mathematical Analysis, 17 (2), (2014), p. 82-97.

  • ''An Inverse Problem for Differential Operators on Hedgehog-type Graphs with General Matching Conditions''
    Choque Rivero A.E., Karlovich Yu., Yurko V.
    Communications in Mathematical Analysis, 17 (2), (2014), p. 98-107.

  • ''An algorithm for the truncated matrix Hausdorff moment problem''
    Choque Rivero, A.E., Zagorodnyuk S.
    Communications in Mathematical Analysis, 17 (2), (2014), p. 108-130. 

 


2013

Papers in Refereed Journals

  • ''Surfaces in R^4 with constant principal angles with respect to a plane'' 
    Bayard P., Di Scala Antonio, Osuna O., Ruíz-Hernández Gabriel. 
    Geometriae Dedicata. Vol. 162, N. 1, (2013), p. 153-176. 

  • ''The Resolvent Matrix for the Hausdorff Matrix Moment Problem Expressed in Terms of Orthogonal Matrix Polynomials'' 
    Choque Rivero A.E. 
    Complex Analysis and Operator Theory, , Vol.7, N. 4 (2013), p. 927-944. 

  • ''The Eneström-Kakeya theorem encounters the theory of orthogonal polynomials on the unit circle'' 
    Choque Rivero A.E., Lasarow A. 
    Linear Algebra and its Applications, Vol. 439, N. 5 (2013), 1258–1285. 

  • ''Exact Boundary Controllability of Coupled Hyperbolic Equations'' 
    Avdonin S., Choque Rivero A.E., L. de Teresa 
    International Journal of Applied Mathematics and Computer Science, Vol. 23, N. 4 (2013). 

  • ''Rational surfaces with an anticanonical divisor not reduced'' 
    Cerda-Rodriguez J. A., Failla, G., Lahyane, M., Moreno, I.,Osuna O.. 
    Analele Stiintifice ale Universitatii Ovidius Constanta, Vol. 21 (3),(2013), p. 229-240. 

  • ''Long-time Decar for the Linearized System of a Charged Particle in the Klein-Gordon Field'' 
    G.Burlak, V.Imaykin, A. Merzon. 
    Communications in Mathematical Analysis, 14 (2), (2013), p. 13-24. 

  • ''On the Spreading Rate of the Soliton Perturbation for Relativistic Nonlinear Wave Equations'' 
    Yu. I. Karlovich , A. I. Komech, E. A. Kopylova, A. Merzon. 
    Communications in Mathematical Analysis, Vol 14, (2), (2013), p. 95-102. 

  • ''On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II '' 
    A. I. Komech, A. Merzon. 
    Journal of Mathematical Physics, 54, 012702 (2013), http://dx.doi.org/10.1063/1.4773288, Online January 2013. arxiv: 1205.5850. 

  • ''On the Dulac functions for multiply connected domains'' 
    Osuna O., Villaseñor-Aguilar G. 
    Elect. Journal of Qualitative Theory of Differential Equations, N. 61, (2013), p. 1-11. 

  • ''Connections between topological entropy and limit sets'' 
    Osuna O., Sánchez-Ponce J. 
    Aportaciones Matemáticas, Vol. 46, (2013), p. 21-28. 

  • '' On the spinorial representation of spacelike surfaces into 4-dimensional Minkowski space '' 
    Bayard P. 
    accepted in J. Geom. Phys., 

  • '' Spinorial representation of surfaces into 4-dimensional space forms '' 
    Bayard P., Lawn M. A, Roth J. 
    accepted in Annals of Global Analysis and Geometry. 

  • ''A residue formula for the fundamental Hochschild class of the Podles sphere'' 
    Kraehmer, E. Wagner. 
    Journal of K-Theory, accepted. 


2012

Papers in Refereed Journals

  • ''Geometric invariants of surfaces in R^4'' 
    Bayard P., Sánchez-Bringas, F. 
    Topology and its Applications, 159, (2012), 405-413. 

  • '' Invariants and quasi-umbilicity of timelike surfaces in Minkowski space R^3,1'' 
    Bayard P., Sánchez-Bringas, F. 
    J. Geom. Phys, 62(7), (2012), 1697-1713. 

  • ''Multiplicative Structure of the Resolvent Matrix for the Truncated Hausdorff Matrix Moment Problem'' 
    Choque Rivero, A.E. 
    Operator Theory: Advances and Applications, (2012), Vol. 226, 193-210 

  • ''A matrix version of one Hamburger Theorem'' 
    Choque Rivero, A.E.; Dyukarev Yu. 
    Mathematical Notes, Vol. 91, Numbers 3-4 (2012), 493-499. 

  • ''On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges'' 
    Choque Rivero, A.E., Yu. Karlovich, A. Merzon, P. Zhevandrov. 
    Russian Journal of Mathematical Physics, Vol. 19, N. 3, (2012), 373-384. 

  • ''Scattering of a plane wave by hard-soft wedges'' 
    J.E.de la Paz Mendez, Merzon A.. 
    Operator Theory and Its Applications. Series: Operator Theory: Advances and Applications, Vol. 220, (2012), 207-227. 

  • ''Fixed Loci of the anticanonical complete linear systems of anticanonical rational surfaces'' 
    Cerda-Rodriguez J. A., Failla G., Lahyane M., Osuna O. 
    Balkan Journal Geometry and Its Applications. Vol. 17, No. 1, (2012), 1-8. 

  • ''An operator-theoretic approach to invariant integrals on quantum homogeneous sl(n+1,R)-spaces'' 
    Osuna, O; Wagner, E. 
    Int. J. of Geom. Methods in Mod. Phys., Vol. 9, No. 1, (2012), 18 p. 

  • ''Toeplitz algebras in quantum Hopf fibrations'' 
    E. Wagner. 
    Operator theory: Advances and Applications, 220, (2012), 323-342. 

  • ''A noncommutative 2-sphere generated by the quantum complex plane'' 
    Cohen I., E. Wagner. 
    Banach Center Publications 98 (2012), 55-66. 

  • ''Index pairings for pullbacks of C*-algebras'' 
    Dabrowski L., T. Hadfield, P. M. Hajac, R. Matthes, E. Wagner. 
    Banach Center Publications 98 (2012), 67-84. 


2011

Papers in Refereed Journals

  • ''On ranges and Moore-Penrose inverses related to matrix Caratheodory and Schur functions'' 
    Choque Rivero, A.E., Lasarow A., Rahn A. 
    Complex Anal. Oper. Theory, No.5, (2011), 513-543. 

  • ''DN-Scattering of a plane wave by wedges.'' 
    de La Paz Mendez J.E. , Merzon A., 
    Mathematical Methods in the Applied Sciences, Vol. 34, No. 15, (2011), 1843-1872. 

  • ''On the weak solution of the Neumann problem for the 2D Helmholtz equation in a convex cone and H-s regularity'' 
    Merzon A., Speck F.-O., Villalba-Vega T.J. 
    Mathematical Methods in the Applied Sciences, 34, (2011), 24-43 (published on the Web , 2010). 

  • ''Non-existence of limit cycles via inverse integrating factors '' 
    Laura-Guarachi L., Osuna O., Villaseñor-Aguilar G. 
    Electronic J. of Differential Equations, Vol. 2011, No. 124, (2011), 1-6. 

  • ''On the Dulac functions'' 
    Osuna O., Villaseñor-Aguilar G. 
    Qualitative Theory of Dynamical Systems, Vol. 10, No. 1, (2011), 43-49. 

  • ''Some properties of the Dulac functions set'' 
    Osuna O., Villaseñor-Aguilar G. 
    Elect. Journal of Qualitative Theory of Differential Equations, No. 72, (2011), 1-8. 

  • ''Quantum moment map and invariant integration theory on quantum spaces'' 
    Osuna, O; Wagner, E. 
    Acta Polytechnica, Vol. 51, No. 1, (2011), 29-32. 

  • ''Fibre product approach to index pairings for the generic Hopf fibration of SUq(2)'' 
    E. Wagner. 
    Journal of K-Theory, Vol. 7, No. 1, (2011), 1-17. 

  • ''Twisted spectral triples and covariant differential calculi'' 
    Kraehmer, E. Wagner. 
    Banach Center Publications, 93, (2011), 177-188. 

  • ''Restricting the bi-equivariant spectral triple on quantum SU(2) to the Podles spheres'' 
    E. Wagner. 
    Banach Center Publications, 93, (2011), 225-240. 

  • ''On the nonexistence of periodic orbits of differential systems'' 
    Osuna O., Villaseñor-Aguilar G. , Geiser Villavicencio-Pulido. 
    Aportaciones Matemáticas, Vol. 43, (2011), 29-34. 

 

Refereed Conference Papers

  • ''The time optimal control as an Interpolation Problem'' 
    Choque Rivero, A.E.; Karlovich, Yu. 
    Proceedings of "Analysis, Mathematical Physics and Applications". Commun. Math. Anal., Conf. 03 (2011).

  • ''Rational surfaces with an anticanonical divisor not reduced'' 
    Cerda-Rodriguez J. A., G. Failla, M. Lahyane, I. Moreno, Osuna O.. 
    Seminar berichte aus der Fakultät für Mathematik und Informatik der FernUniversität in Hagen, Vol. 84, (2011), 101-110. 

  • "Optical fields in a multilayered microsphere with a quasiperiodic spherical left-handed stack" 
    Díaz-de-Anda A, Burlak G. , Merzon A., and Rabinovich V.S. 
    Proceedings of "Analysis, Mathematical Physics and Applications". Commun. Math. Anal., Conf. 03 (2011), 88-98.

  • "L²-estimates for the Laplace transform along a family of hyperbolas in the right half-plane" 
    Sadov S, Merzon A. 
    Proceedings of "Analysis, Mathematical Physics and Applications". Commun. Math. Anal., Conf. 03 (2011), 204-208.


2010

Papers in Refereed Journals

  • ''Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1'' 
    Bayard P., Sánchez-Bringas, F. 
    Proc. Roy. Soc. Edinburgh Sect. A 140 (6), 1141-1160 (2010). 

  • ''The admissible control problem from the moment problem point of view'' 
    Choque Rivero, A.E.; Korobov, V.I.; Sklyar, G.M. 
    Applied Mathematics Letters, Vol.23, No. 1, 58-63, (2010). 

  • ''On the finite generation of the effective monoid of rational surfaces'' 
    Lahyane Mustapha. 
    Journal of Pure and Applied Algebra, Vol. 214, Issue 7, (2010), 1217-1240. 

  • ''Rigidity of the stable norm on tori'' 
    Osvaldo Osuna. 
    Rev. Colombiana de Mat., Vol. 44, (1), (2010), 15-21. 


2009

Papers in Refereed Journals

  • ''Entire scalar curvature flow and hypersurfaces of constant scalar curvature in Minkowski space'' 
    Bayard Pierre. 
    Methods and Applications of Analysis, 16 (1), 87-118 (2009). 

  • ''Spacelike entire radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature'' 
    Bayard P., Delanoe P. 
    Ann. Inst. Henri Poincare (C) Non Linear Analysis, 26, 903-915 (2009). 

  • ''Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space'' 
    Bayard P.; Schnuerer O. 
    Journal Reine Angew. Math., 627, 1-29 (2009). 

  • ''Complete linear systems on rational surfaces'' 
    Cerda-Rodríguez, J. Adrián, De la Rosa-Navarro Brenda 
    Int. J. Contemp. Math. Sciences, Vol. 4, No. 25, (2099), 1215-1218. 

  • ''Solution of a Synthesis Problem of a Nonlinear Control System'' 
    Choque Rivero A.E.. 
    Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh., Vol. 59, No. 850 , 45-51, (2009). 

  • ''On the Euler function of Fibonacci numbers'' 
    Florian Luca, Mejía Huguet Janitzio, Florin Nicolae. 
    Journal of Integers Sequences. 12, no. 6, Art. 09.6.6, (2009), 15 pp. 

  • ''Fibonacci-Riesel and Fibonacci-Sierpinski numbers'' 
    Florian Luca, Mejía Huguet Janitzio 
    Fibonacci Quart. 46, no. 3, (2009), 216--219. 

  • ''Scattering in the nonlinear Lamb system'' 
    Komech, A.I.; Merzon, A.E.. 
    Physics Letters A, V372, N11 (North-Hollan) , (2009) 1005-1010. 

  • '' On asymptotic completeness for scattering in the nonlinear Lamb system '' 
    Komech, A.I.; Merzon, A.E. 
    Journal of Mathematical Physics, V50,N2 (American Institute of Physics) , (2009) 023514-023514-10 

  • ''The Aubry set for periodic Lagrangians on the circle'' 
    Osuna Osvaldo. 
    Bulletin of the Brazilian Mathematical Soc., Vol. 40 (2) (2009), 247-252. 

  • ''Geometrical properties of the stable norm on closed Manifolds'' 
    López, E.; Osuna O. 
    Aportaciones Matemáticas 40 (2009), 75-86. 

  • ''On the noncommutative spin geometry of the standard Podles sphere and index computations'' 
    Wagner, Elmar. 
    Journal of Geometry and Physics, Vol. 59 (2009), 998–1016. 

  • ''Orthogonal polynomials on rays: Christoffel's formula'' 
    Choque Rivero, A.E.; Zagorodnyuk, S. 
    Boletín de la Sociedad Matemática Mexicana, accepted, to appear. 


2008

Papers in Refereed Journals

  • ''The Controllability Function Method for the Synthesis Problem of a Nonlinear Control System'' 
    A.E. Choque Rivero. 
    International Review of Automatic Control, Vol. 1, No. 4, 441-445, (2008). 

  • ''Scattering in the Zero-mass Lamb system'' 
    A. Merzon, M.A.Taneco-Hernández.. 
    Physics Letters A 372 (North-Hollan) , (2008) 4761–4767. 

  • ''On the vanishing of cohomology of divisors on nonsingular rational surfaces'' 
    Mustapha Lahyane, Gioia Failla, Israel Moreno Mejía. 
    International Journal of Contemporary Mathematical Sciences, Vol. 3, (2008), 1031-1040. 

  • ''The completely indeterminate Caratheodory Matrix Problem in the class Rq[a,b]'' 
    A.E. Choque Rivero, A. Merzon. 
    Analysis (Munich), Vol. 28, 177-207, (2008). 

Refereed Conference Papers

  • ''On scattering states in the nonlinear Lamb system'' 
    A.I.Komech, A.E.Mezon,M.A.Taneco-Hernández.. 
    5-th European Congress of mathematics. Amsterdam, 14-18 July 2008, Minusimposia "Global Attractors in Hyperbolic Hamiltonian Systems" 

  • ''Time optimal control as a degenerate Hausdorff Moment Problem'' 
    A.E. Choque Rivero. 
    International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of Lev Semenovich Pontryagin, 17-22 junio, 2008, Moscu, Rusia. 


2007

Papers in Refereed Journals

  • ''Truncated Matricial Moment Problem on a Finite Interval. The Case of an Odd Number of Prescribed Moments'' 
    A.E. Choque Rivero, Yu.M. Dyukarev, B. Fritzsche, B. Kirstein. 
    Operator Theory: Advances and Applications, Vol. 176, , 99-174, (2007). 

  • ''Rational surfaces of Kodaira type $IV$'' 
    Gioia Failla, Mustapha Lahyane, Giovanni Molica Bisci. 
    Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), Vol. 10 (2007), no. 3, 741-750. 

  • ''Relation between Cauchy data for the scattering by a wedge'' 
    A.Komech, A.Merzon. 
    Russian Journal of mathematical Physics, vol. 14, No3, pp. 279-303, ISSN 1061-9208, Pleiades Publishing,Ltd., 2007 

  • ''On a B.V.P. in a quadrant with non-local boundary conditions'' 
    A.Merzon, M.A.Taneco-Hernández.. 
    International Journal of Pure and Applied Mathematics, vol.35, issue 1, 2007, ISSN 1311-8080, pp. 31-47. 

  • "Dirac operators on all Podles quantum spheres" 
    F. D'Andrea, L. Dabrowski, G. Landi, E. Wagner. 
    J. Noncommut. Geom., Vol. 1, (2007), 213-239. 

  • "An operator-theoretic approach to invariant integrals on quantum homogeneous SU(n,1)-spaces" 
    K.-D. Kuersten, E. Wagner. 
    Publ. RIMS. Kyoto Univ., Vol. 43, (2007), 1-37. 

  • "Representations of cross product algebras of Podles' quantum spheres" 
    K. Schmuedgen, E. Wagner. 
    J. Lie Theory, Vol. 17, (2007), 751-790.

Refereed Conference Papers

  • ''Some Applications of the Set of Curves on Fibred Surfaces to Coding Theory'' 
    Gioia Failla, Mustapha Lahyane, Giovanni Molica Bisci. 
    Communications to SIMAI Congress, ISSN 1827-9015, Vol. 2 (2007), 1-3.. 

  • ''The finite generation of the monoid of effective divisor classes on platonic rational surfaces'' 
    Gioia Failla, Mustapha Lahyane, Giovanni Molica Bisci. 
    Che'niot, Denis (ed.) et al., Singularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24--February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday. Singapore: World Scientific. 565-576 (2007). 

  • ``On relation between the Cauchy data in the scattering problems on a wedge'' 
    Komech, A.I., Merzon, A.E.. 
    International Conference ''Differerential Equations and Related Topics'' 
    Moscow, May 21-26, 2007. Book of abstracts, pp 145-146. 

2006

Papers in Refereed Journals

  • '' The Caratheodory Matrix Problem in the class S[a,b]'' 
    A.E. Choque Rivero. 
    Russian Mathematics, ISSN 1066-369X, Vol. 50, No.11, (2006), pp. 58-73. 

  • ''A truncated Matricial Moment Problem on a Finite Intervall'' 
    A.E. Choque Rivero A.E., Yu.M. Dyukarev, B.Fritzsche, B.Kirstein. 
    Operator Theory: Advances and Applications, Vol. 165, (2006), 121-173. 

  • ''On the finite generation of the monoid of effective divisor classes on rational surfaces of type $(n,m)$'' 
    Gioia Failla, Mustapha Lahyane , Giovanni Molica Bisci. 
    Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali, Volume LXXXIV. ISSN 1825-1242. (2006). 

  • '' A note on the Rigidity of the stable norm'' 
    Osvaldo Osuna. 
    Morfismos, Vol 10, No. 1, 2006, 45-50. 

  • ''A Fourier-Laplace Transform'' 
    A.E.Merzon. 
    SIAM Journal Problems and Solutions, Published ONLINE 10/11/2006, http://www.siam.org/journals/categories/classical.php 

  • ''Limiting Amplitude principle in the scattering by wedges'' 
    A.I.Komech, A.E.Merzon. 
    Phys. Rev. D 74 (2006) 063504. 
    Mathematical Methods in the Applied Sciences, 2006; Vol. 29, issue 10, pp. 1147-1185. Published ONLINE 20/02/06 

  • ''On the stable norm of surfaces'' 
    Osvaldo Osuna. 
    Boletin de la Sociedad Matemática Mexicana. Num. 1, Vol. 12. (2006), p. 1-6. 

  • ''Invariant lagrangian submanifolds of Lagrangian systems'' 
    José A. Goncalves-Miranda, Osvaldo Osuna. 
    Aportaciones Matemáticas, 36, (2006), pp. 3-13 

  • ''Entire spacelike hypersurfaces of prescribed scalar curvature in Minkowski space'' 
    Pierre Bayard. 
    Calc. Var. 26, 245-264 (2006) 

  • "Hilbert space representations of cross product algebras II" 
    K. Schmuedgen, E. Wagner. 
    Algebr. Represent. Theory, Vol. 9, (2006), 431-464. 

  • "Influence of air pollution and site conditions on trends of carbon and oxygen isotope ratios in tree ring cellulose" 
    E. Wagner, R. Wagner. 
    Isotopes in Environmental and Health Studies, Vol. 42, (2006), 351-365.

Refereed Conference Papers

  • '' Nonstationary scattering DN-problem of a plane wave by a wedge'' 
    A.Esquivel, A.E.Merzon. 
    Days on Diffraction Proceedings of the International Conference.2006. Volume, Issue, 2006, 187-196. St. Petersburg, Russia, ISBN: 5-9651-0226-7. Posted on-line 2007-04-16. 


2005

Papers in Refereed Journals

  • '' Interrelations Between the Taylor Coefficients of a Matricial Caratheodory Function and Its Cayley Transform Under the View of Matrix Balls'' 
    A.E. Choque Rivero, B.Fritzsche, B.Kirstein. 
    Analysis ISSN 0174-4747, No.25 (2005), 141-157. 

  • '' Irreducibility of $(-1)$-classes on anticanonical rational surfaces and finite generation of the effective monoid'' 
    Mustapha Lahyane, Brian Harbourne. 
    Pacific Journal of Mathematics, Volume 218, Number 1, Jan 2005, Pages 1-14. 

  • ''Irreducibility of the $(-1)$-classes on smooth rational surfaces'' 
    Mustapha Lahyane. 
    Proceedings of the American Mathematical Society, Volume 133 (2005) 2219- 2224. 

  • '' Exceptional curves on smooth rational surfaces with $- K$ not nef and of self-intersection zero'' 
    Mustapha Lahyane. 
    Proceedings of the American Mathematical Society, Volume 133 (2005) 1593- 1599. 

  • '' On Sommerfeld representation and uniqueness in diffraction by wedges'' 
    A.I.Komech, N.J.Mauser, A.E.Merzon . 
    Mathematical Methods in the Applied Sciences , 2005; Vol. 28, issue 2: p. 147-183. 

  • ''Vertices of Mather's Beta function'' 
    Osvaldo Osuna. 
    Ergodic Theory and Dynamical Systems. Vol. 25, (2005), p. 949-955. 


2004

Papers in Refereed Journals

  • ''Controllability function as time of motion II'' 
    A.E. Choque Rivero, V.I. Korobov, V.O. Skoryk. 
    Mat. Fiz. Anal. Geom., ISSN 1027-1767, No. 3, Vol.11, (2004), 341-354. 

  • ''Controllability function as time of motion I'' 
    A.E. Choque Rivero, V.I. Korobov, V.O. Skoryk. 
    Mat. Fiz. Anal. Geom., ISSN 1027-1767, No. 2, Vol.11, (2004), 208-225. 

  • '' Rational surfaces having only a finite number of exceptional curves'' 
    Mustapha Lahyane. 
    Mathematische Zeitschrift, Volume 247, Number 1 / May, 2004, Pages 213-221. 

  • '' Exceptional curves on rational surfaces having $K^{2} \geq 0$"'' 
    Mustapha Lahyane. 
    Comptes rendus Mathematique, Volume 338, Number 11, 2004, Pages 873-878. 

  • "Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere" 
    K. Schmuedgen, E. Wagner. 
    J. Reine Angew. Math., Vol. 574, (2004), 219-235.

2003

Papers in Refereed Journals

  • ''Nevanlinna-Pick problem in the class S[a,b]'' 
    Yu.M. Dyukarev, A.E. Choque Rivero. 
    Russian Mathematics (Iz. VUZ), ISNN 1066-369X, Vol. 47, No.2, (2003), 34-43 

  • ''Interpolation problem in the R[a,b] class'' 
    Yu.M. Dyukarev, A.E. Choque Rivero. 
    Ukrainian Mathematical Journal, ISSN 0041-5995, Vol.55, No.8, (2003). 1265-1282 

  • ''On Anosov energy levels that are of contact type'' 
    Osvaldo Osuna. 
    Morfismos. Vol. 7, Num. 1, (2003), p. 69-75. 

  • ''Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in R n,1'' 
    Pierre Bayard. 
    Calc. Var. 18 , 1-30 (2003) 

  • ''Asymptotics of eigenfunctions in shallow potential wells and related problems'' 
    P. Zhevandrov, A. Merzon. 
    American Mathematical Society Translations, Series 2, 2003, Vol. 208, (Asymptotic Methods for Wave and Quantum Problems) 235-284. 

  • "Examples of twisted cyclic cocycles from covariant differential calculi" 
    K. Schmuedgen, E. Wagner. 
    Lett. Math. Phys., Vol. 64, (2003), 245-254. 

  • "Hilbert space representations of cross product algebras" 
    K. Schmuedgen, E. Wagner. 
    J. Funct. Anal., Vol. 200, (2003), 451-493. 

  • "Hilbert space representations of a cross product algebra related to the 3D-calculus on O(SUq(1,1))" 
    E. Wagner. 
    Czech. J. Phys. Vol. 53, (2003), 1137-1146.

Refereed Conference Papers

  • ''Well-posedness of the problem of Nonstationary Diffraction of Sommerfeld'' 
    A. Merzon. 
    International Seminar "Day of Diffraction'2003", June 24-27, 2003, St.Petebsburg, Rusia, 151-162 

  • ''Shallow potential wells for the Schroedinger equation and water waves'' 
    Peter Zhevandrov and Anatoli Merzon. 
    Progress in Analysis. Proceedings of the 3rd international ISAAC Congress, Vol I. Berlin, Germany 20-25 August, World Scientific Publishing Co.Pte. Ltd 2003, 589-598. 

2002

Papers in Refereed Journals

  • ''Shallow potential wells for the Schroedinger equation and water waves'' 
    P. Zhevandrov, A. Merzon. 
    Morfismos, Vol 6, No. 1, 2002, 1-13. 

  • ''A Method of Complex Characteristics for Elliptic Problems in Angles and its Applications'' 
    A.Komech, A. Merzon, P. Zhevandrov. 
    Amer. Math. Transl. (2), Vol. 206, 2002, pp. 125-159. 


2001

Papers in Refereed Journals

  • '' The power moment problem on a compact interval'' 
    Yu.M. Dyukarev, A.E. Choque Rivero. 
    Mathematical Notes, ISSN 0001-4346, 69, no.1-2, (2001), 175-187 

  • ''Long-time asymptotic behavior and attractors of wave processes'' 
    P.Joly, A.Bensoussan, A.-S. Ben-Dhia, K.Ramdani, J.Fleckinger, G.Cohen, F.Collino, T.Fouquet, C.Poirier, L.Rhaouti, O.Vacus, A.I.Komech, N.Yu. Radvogin, C.Iljin, V.M.Imaikin, A.E.Merzon, A.Vinnichenko, P.N.Zhevandrov. 
    Transactions of French-Russian A.M.Liapunov Institute, vol. 2, Russia, 2001, pp. 105-112 

  • ''Proble`me de Dirichlet pour la courbure scalaire dans R 3,1'' 
    Pierre Bayard. 
    C. R. Acad. Sci., Paris t. 322, Se'rie 1, 219-222 (2001) 

Refereed Conference Papers

  • '' Asymtotics of eigenfunctions for a weakly coupled Schrödinger operator'' 
    Peter Zhevandrov and Anatoli Merzon. 
    In Extended Abstracts of the Chechoslovak International Conference on Differential equations and Their applications. Prague, Czech Republic, August 27-31, 2001, Mathematical Institute Academy of Sciences of the Czech Republic, 143-144.