Manuel Domínguez de la Iglesia
Department of Mathematics
Courant Institute of Mathematical Sciences
New York University
Dirección postal:
251 Mercer Street,
New York, NY 10012, U.S.A.
Despacho #: 828
Teléfono: (+1) 212-998-3166; Fax: (+1) 212-995-4121
E-mail: mdi29[arroba]cims.nyu.edu
Líneas de investigación
Teoría de Aproximación, funciones especiales, polinomios ortogonales, polinomios ortogonales
matriciales, ecuaciones diferenciales, análisis matricial, problemas de Riemann-Hilbert, matrices aleatorias, aplicaciones.
Publicaciones:
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F. A. Grünbaum and M. D. de la Iglesia, Matrix valued orthogonal polynomials related to SU(N+1),
their algebras of differential operators and the corresponding
curves, Exp. Math. 16, No. 2, (2007), 189-207.
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A. J. Durán and M. D. de la Iglesia, Some examples of orthogonal matrix polynomials satisfying
odd order differential equations, J. Approx. Theory 150, No. 2, (2008), 153-174.
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F. A. Grünbaum and M. D. de la Iglesia, Matrix valued orthogonal polynomials arising from group
representation theory and a family of quasi-birth-and-death
processes, SIAM J. Matrix Anal. Applic. 30, No. 2 (2008), 741-761.
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A. J. Durán and M. D. de la Iglesia, Second order differential operators having several families
of orthogonal matrix polynomials as eigenfunctions, Internat. Math. Research Notices, Vol. 2008, Article ID rnn084, 24
pages.
Charlas:
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Matrix valued orthogonal polynomials related to SU(N+1),
their algebras of differential operators and the corresponding
curves. Recent trends in Contructive Approximation Theory. Universidad Carlos III de Madrid. 1 de Septiembre de 2006.
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Some examples of orthogonal matrix polynomials satisfying odd order differential equations
. 12th International Conference in Approximation Theory. San Antonio, Texas (USA). Marzo 4-6, 2007.
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New phenomena on examples of orthogonal matrix polynomials satisfying differential equations
. 2007 AMS Spring Western Section Meeting. Tucson, Arizona (USA), 22 de Abril, 2007.
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Second order differential operators having several families
of orthogonal matrix polynomials as eigenfunctions.
Special Functions, Information Theory and Mathematical Physics. Granada, España, 18 de Septiembre, 2007.
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Matrix valued orthogonal polynomials satisfying differential equations.
XX Congreso de Ecuaciones Diferenciales y Aplicaciones. X Congreso de Matemática Aplicada. Sevilla, 24-28 Septiembre, 2007
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Differential properties of some families of matrix valued
orthogonal polynomials and applications.
Random matrices and
integrable systems working seminar. Courant Institute of
Mathematical Sciences. New York, March, 11, 2008.
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The convex cone of weight matrices associated with a symmetric
second order differential operator: some examples.
Workshop on
orthogonal polynomials and special functions. Katholieke
Universiteit Leuven. Leuven, May, 20, 2008.
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Methods and applications of orthogonal matrix polynomials
satisfying differential equations.
Seminar Classical Analysis. Katholieke Universiteit Leuven. Leuven, June, 11, 2008.
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A family of quasi-birth-and-death processes coming from the
theory of matrix valued orthogonal polynomials.
International
workshop on orthogonal polynomials and approximation theory.
Universidad Carlos III de Madrid. Leganes, Madrid, September, 8,
2008.
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Riemann-Hilbert techniques in the theory of orthogonal matrix polynomials.
XI Encuentros de Analisis Real y Complejo. Chinchon, Madrid, May 9,
2009.
Posters:
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A family of quasi-birth-and-death processes coming from the
theory of matrix valued orthogonal polynomials.
3emes
Journees Approximation. Universite de Lille 1. Lille, May, 15,
2008.
Tesis doctoral
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Tesis doctoral: Propiedades diferenciales de familias de polinomios ortogonales
matriciales y aplicaciones. Versión revisada (Julio 2008).
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Defensa de la tesis doctoral. 21 de febrero de 2008.