Time and band limiting for matrix valued functions, an example

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Date
2015-07-29MFO Scientific Program
OWLF 2015Series
Oberwolfach Preprints;2015,08Author
Grünbaum, F. A.
Pacharoni, I.
Zurrián, Ignacio Nahuel
Metadata
Show full item recordOWP-2015-08
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.