Browsing by Author "Pacharoni, I."

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    Time and band limiting for matrix valued functions, an example
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2015) Grünbaum, F.A.; Pacharoni, I.; Zurrián, I.
    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 rst 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.