Time and band limiting for matrix valued functions, an example
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 p...
Guardado en:
| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | Inglés |
| Publicado: |
2022
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| Acceso en línea: | http://hdl.handle.net/11086/22154 https://doi.org/10.3842/SIGMA.2015.044 |
| Aporte de: |
| Sumario: | 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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