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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Time and Band Limiting for Matrix Valued Functions, an Example
F. Alberto Grünbauma, Inés Pacharonib, Ignacio Nahuel Zurriánb a Department of Mathematics, University of California, Berkeley 94705, USA
b CIEM-FaMAF, Universidad Nacional de Córdoba, Córdoba 5000, Argentina
Аннотация:
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.
Ключевые слова:
time-band limiting; double concentration; matrix valued orthogonal polynomials.
Поступила: 11 февраля 2015 г.; в окончательном варианте 30 мая 2015 г.; опубликована 12 июня 2015 г.
Образец цитирования:
F. Alberto Grünbaum, Inés Pacharoni, Ignacio Nahuel Zurrián, “Time and Band Limiting for Matrix Valued Functions, an Example”, SIGMA, 11 (2015), 044, 14 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1025 https://www.mathnet.ru/rus/sigma/v11/p44
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