Artículos de revistas
Time and band limiting for matrix valued functions, an example
Fecha
2015-06Registro en:
Grünbaum, F. Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions, an example; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 11; 6-2015; 1-14
1815-0659
CONICET Digital
CONICET
Autor
Grünbaum, F. Alberto
Pacharoni, Maria Ines
Zurrián, Ignacio Nahuel
Resumen
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 f irst 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.