Time and band limiting for matrix valued functions : an integral and a commuting differential operator
Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8
| Main Authors: | , , |
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| Other Authors: | |
| Format: | info:eu-repo/semantics/acceptedVersion |
| Language: | eng |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/552618 |
| _version_ | 1806011938382020608 |
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| author | Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel |
| author2 | https://orcid.org/0000-0001-9663-4283 |
| author_facet | https://orcid.org/0000-0001-9663-4283 Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel |
| author_sort | Grünbaum, Francisco Alberto |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8 |
| format | info:eu-repo/semantics/acceptedVersion |
| id | rdu-unc.552618 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.5526182024-07-09T06:35:31Z Time and band limiting for matrix valued functions : an integral and a commuting differential operator Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel https://orcid.org/0000-0001-9663-4283 https://orcid.org/0009-0004-8058-1227 https://orcid.org/0000-0001-9552-0073 Time-band limiting Double concentration Matrix valued orthogonal polynomials Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8 info:eu-repo/semantics/acceptedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Pacharoni, María Inés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile. Facultad de Matematicas; Chile. The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 1960’s, by exploiting a “miracle”: a certain naturally appearing integral operator commutes with an explicit differential one. Here we show that this same miracle holds in a matrix valued version of the same problem. This research was supported in part by CONICET grant PIP 112-200801-01533, SeCyT-UNC, FONDECYT 3160646 and FA9550-16-1-0175. http://iopscience.iop.org/article/10.1088/1361-6420/aa53b8 info:eu-repo/semantics/acceptedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Pacharoni, María Inés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile. Facultad de Matematicas; Chile. Matemática Pura 2024-07-08T15:11:50Z 2024-07-08T15:11:50Z 2017 article 0266-5611 http://hdl.handle.net/11086/552618 1361-6420 eng Atribución-NoComercial-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Impreso |
| spellingShingle | Time-band limiting Double concentration Matrix valued orthogonal polynomials Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title | Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title_full | Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title_fullStr | Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title_full_unstemmed | Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title_short | Time and band limiting for matrix valued functions : an integral and a commuting differential operator |
| title_sort | time and band limiting for matrix valued functions an integral and a commuting differential operator |
| topic | Time-band limiting Double concentration Matrix valued orthogonal polynomials |
| url | http://hdl.handle.net/11086/552618 |
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