Sesión Análisis

Diciembre 14, 17:30 ~ 17:50

Time Band Limiting and Matrix-valued Commuting Operators

ZURRIÁN, Ignacio

The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 1960's, by exploiting a "miracle": a certain naturally appearing integral operator commutes with an explicit differential one. We will discuss about this same miracle holding in a matrix-valued version of the same problem. Also, we will talk about a general construction of such a miraculous operator.

Autores: PACHARONI, Inés / GRÜNBAUM, Alberto / ZURRIÁN, Ignacio.