Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3842/SIGMA.2015.044 | SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS |
Keywords | Field | DocType |
time-band limiting,double concentration,matrix valued orthogonal polynomials | Information theory,Noncommutative geometry,Prolate spheroid,Algebra,Orthogonal polynomials,Mathematical analysis,Matrix (mathematics),D'Alembert operator,Operator (computer programming),Limiting,Mathematics | Journal |
Volume | ISSN | Citations |
11 | 1815-0659 | 1 |
PageRank | References | Authors |
0.65 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| F. Alberto Grünbaum | 1 | 19 | 9.14 |
| Inés Pacharoni | 2 | 1 | 0.65 |
| Ignacio Nahuel Zurrián | 3 | 1 | 0.65 |