Artículo
The Darboux process and time-and-band limiting for matrix orthogonal polynomials
Autor/es | Castro Smirnova, Mirta María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Grünbaum, Francisco Alberto |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2015-12-15 |
Fecha de depósito | 2024-06-11 |
Publicado en |
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Resumen | We extend to a situation involving matrix valued orthogonal polynomials a scalar result that originates in work of Claude Shannon in laying the mathematical foundations of information theory and a remarkable series of ... We extend to a situation involving matrix valued orthogonal polynomials a scalar result that originates in work of Claude Shannon in laying the mathematical foundations of information theory and a remarkable series of papers by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's. We show that in this case an algebraic miracle that plays a very important role in the classical case survives an application of the so-called Darboux process in the matrix valued context. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Ministerio de Educación, Cultura y Deporte (MECD). España |
Identificador del proyecto | MTM2012-36732-C03-03
![]() FQM-262 ![]() FQM-4643 ![]() FQM-7276 ![]() DE-AC03-76SF00098 ![]() FA95501210087 ![]() |
Cita | Castro Smirnova, M.M. y Grünbaum, F.A. (2015). The Darboux process and time-and-band limiting for matrix orthogonal polynomials. Linear Algebra and its Applications, 487, 328-341. https://doi.org/10.1016/j.laa.2015.09.012. |
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