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dc.contributor.author
Grünbaum, Alberto
dc.contributor.author
Pacharoni, Maria Ines
dc.contributor.author
Zurrián, Ignacio Nahuel
dc.date.available
2019-11-22T12:27:44Z
dc.date.issued
2018-05
dc.identifier.citation
Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Bispectrality and Time-Band-Limiting: Matrix valued polynomials; Oxford University Press; International Mathematics Research Notices; 5-2018
dc.identifier.issn
1073-7928
dc.identifier.uri
http://hdl.handle.net/11336/89510
dc.description.abstract
The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute itseigenfunctions. Bispectrality is an eort to dig into the reasons behind this miracle and goes back to joint work with H.Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrablesystems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we candisplay a constructive and simple way to obtain the commuting dierential operator. Furthermore, we build an operatorthat commutes with both the time-limiting operator and the band-limiting operators.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Oxford University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
TIME-BAND LIMITING
dc.subject
DOUBLE CONCENTRATION
dc.subject
MATRIX VALUED ORTHOGONAL POLYNOMIALS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Bispectrality and Time-Band-Limiting: Matrix valued polynomials
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-10T19:02:39Z
dc.identifier.eissn
1687-0247
dc.journal.pais
Reino Unido
dc.journal.ciudad
Oxford
dc.description.fil
Fil: Grünbaum, Alberto. University of California at Berkeley; Estados Unidos
dc.description.fil
Fil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.description.fil
Fil: Zurrián, Ignacio Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
International Mathematics Research Notices
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rny140/5040784
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rny140


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