Time and band limiting for matrix valued functions, an example
Ver/Descargar
Fecha
2015Autor
Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
Metadatos
Mostrar el registro completo del ítemResumen
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.
Citación
Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2015). Time and band limiting for matrix valued functions, an example. Symmetry, Integrability and Geometry: Methods and Applications, 11, 044. https://doi.org/10.3842/SIGMA.2015.044