The Darboux process and time-and-band limiting for matrix orthogonal polynomials

Castro Smirnova, Mirta María; Grünbaum, Francisco Alberto

doi:10.1016/j.laa.2015.09.012

Artículo

dc.creator	Castro Smirnova, Mirta María	es
dc.creator	Grünbaum, Francisco Alberto	es
dc.date.accessioned	2024-06-11T07:37:01Z
dc.date.available	2024-06-11T07:37:01Z
dc.date.issued	2015-12-15
dc.identifier.citation	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.
dc.identifier.issn	0024-3795	es
dc.identifier.issn	1873-1856	es
dc.identifier.uri	https://hdl.handle.net/11441/160290
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	12 p.	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Linear Algebra and its Applications, 487, 328-341.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Time-band limiting	es
dc.subject	Matrix valued orthogonal polynomials	es
dc.subject	Darboux process	es
dc.title	The Darboux process and time-and-band limiting for matrix orthogonal polynomials	es
dc.type	info:eu-repo/semantics/article	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)	es
dc.relation.projectID	MTM2012-36732-C03-03	es
dc.relation.projectID	FQM-262	es
dc.relation.projectID	FQM-4643	es
dc.relation.projectID	FQM-7276	es
dc.relation.projectID	DE-AC03-76SF00098	es
dc.relation.projectID	FA95501210087	es
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0024379515005273?via%3Dihub	es
dc.identifier.doi	10.1016/j.laa.2015.09.012	es
dc.contributor.group	Universidad de Sevilla. FQM262: Teoría de la Aproximación	es
dc.journaltitle	Linear Algebra and its Applications	es
dc.publication.volumen	487	es
dc.publication.initialPage	328	es
dc.publication.endPage	341	es
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España	es
dc.contributor.funder	Junta de Andalucía	es
dc.contributor.funder	European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)	es
dc.contributor.funder	Ministerio de Educación, Cultura y Deporte (MECD). España	es

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