Time and Band Limiting for Matrix Valued Functions, an Example
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Time and Band Limiting for Matrix Valued Functions, an Example
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| Creator |
Grünbaum, F.A.
Pacharoni, I. Zurrián, I.N. |
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| Description |
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.
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| Date |
2019-02-13T16:51:23Z
2019-02-13T16:51:23Z 2015 |
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| Type |
Article
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| Identifier |
Time and Band Limiting for Matrix Valued Functions, an Example / F.A. Grünbaum, I. Pacharoni, I.N. Zurrián // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C45; 22E45; 33C47 DOI:10.3842/SIGMA.2015.044 http://dspace.nbuv.gov.ua/handle/123456789/147111 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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