Time and band limiting for matrix valued functions, an example
Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America.
| Main Authors: | , , |
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| Format: | publishedVersion |
| Language: | eng |
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2022
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| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/22154 https://doi.org/10.3842/SIGMA.2015.044 |
| _version_ | 1801215965337223168 |
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| author | Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel |
| author_facet | Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel |
| author_sort | Grünbaum, Francisco Alberto |
| collection | Repositorio Digital Universitario |
| description | Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. |
| format | publishedVersion |
| id | rdu-unc.22154 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.221542022-10-13T11:08:10Z Time and band limiting for matrix valued functions, an example Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel Time-band limiting Double concentration Matrix valued orthogonal polynomials publishedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. 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: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil:Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the mathematical foundations of information theory and to a remarkable series of papers by D. Slepian, H. Landau and H. Pollak. To our knowledge, this is the first example showing in a non-commutative setup that a bispectral property implies that the corresponding global operator of “time and band limiting” admits a commuting local operator. This is a noncommutative analog of the famous prolate spheroidal wave operator. http://www.emis.de/journals/SIGMA/2015/044/sigma15-044.pdf publishedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. 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: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil:Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Matemática Pura 2022-01-12T18:18:06Z 2022-01-12T18:18:06Z 2015 article Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2015). Time and band limiting for matrix valued functions, an example. Symmetry, Integrability and Geometry: Methods and Applications, 11, 044. https://doi.org/10.3842/SIGMA.2015.044 http://hdl.handle.net/11086/22154 https://doi.org/10.3842/SIGMA.2015.044 eng Attribution-ShareAlike 4.0 International http://creativecommons.org/licenses/by-sa/4.0/ Electrónico y/o Digital ISSN 1815-0659 |
| 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 example |
| title | Time and band limiting for matrix valued functions, an example |
| title_full | Time and band limiting for matrix valued functions, an example |
| title_fullStr | Time and band limiting for matrix valued functions, an example |
| title_full_unstemmed | Time and band limiting for matrix valued functions, an example |
| title_short | Time and band limiting for matrix valued functions, an example |
| title_sort | time and band limiting for matrix valued functions an example |
| topic | Time-band limiting Double concentration Matrix valued orthogonal polynomials |
| url | http://hdl.handle.net/11086/22154 https://doi.org/10.3842/SIGMA.2015.044 |
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