dc.creator | Castro Smirnova, Mirta María | es |
dc.creator | Grünbaum, Francisco Alberto | es |
dc.creator | Zurrián, Ignacio Nahuel | es |
dc.date.accessioned | 2024-07-04T10:42:16Z | |
dc.date.available | 2024-07-04T10:42:16Z | |
dc.date.issued | 2024-01 | |
dc.identifier.citation | Castro Smirnova, M.M., Grünbaum, F.A. y Zurrián, I.N. (2024). Time and band limiting for exceptional polynomials. Applied and Computational Harmonic Analysis, 68 (101600). https://doi.org/10.1016/j.acha.2023.101600. | |
dc.identifier.issn | 1063-5203 | es |
dc.identifier.issn | 1096-603X | es |
dc.identifier.uri | https://hdl.handle.net/11441/161111 | |
dc.description.abstract | The "time-and-band limiting" commutative property was found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and independently by M. Mehta and later by C. Tracy and H. Widom in Random matrix theory. The property in question is the existence of local operators with simple spectrum that commute with naturally appearing global ones. Here we give a general result that insures the existence of a commuting differential operator for a given family of exceptional orthogonal polynomials satisfying the "bispectral property". As a main tool we go beyond bispectrality and make use of the notion of Fourier Algebras associated to the given sequence of exceptional polynomials.
We illustrate this result with two examples, of Hermite and Laguerre type, exhibiting also a nice Perline's form for the commuting differential operator. | es |
dc.format | application/pdf | es |
dc.format.extent | 13 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Applied and Computational Harmonic Analysis, 68 (101600). | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Time-band limiting | es |
dc.subject | Exceptional polynomials | es |
dc.title | Time and band limiting for exceptional polynomials | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | PID2021-124332NB-C21 | es |
dc.relation.projectID | FQM-262 | es |
dc.relation.projectID | 112-200801-01533 | es |
dc.relation.projectID | 30720150100255CB | es |
dc.relation.projectID | PID2021-124332NB-C21 | es |
dc.relation.projectID | USE-20357-W | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1063520323000878?via%3Dihub | es |
dc.identifier.doi | 10.1016/j.acha.2023.101600 | es |
dc.contributor.group | Universidad de Sevilla. FQM262: Teoría de la Aproximación | es |
dc.journaltitle | Applied and Computational Harmonic Analysis | es |
dc.publication.volumen | 68 | es |
dc.publication.issue | 101600 | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET). Argentina | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es |
dc.contributor.funder | Universidad de Sevilla | es |