Time and band limiting for matrix valued functions: an integral and a commuting differential operator
Spectral Theory
2017-01-20 v2 Information Theory
math.IT
Abstract
The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 's, by exploiting a "miracle": a certain naturally appearing integral operator commutes with an explicit differential one. Here we show that this same miracle holds in a matrix valued version of the same problem.
Cite
@article{arxiv.1604.06510,
title = {Time and band limiting for matrix valued functions: an integral and a commuting differential operator},
author = {F. Alberto Grünbaum and Inés Pacharoni and Ignacio Nahuel Zurrián},
journal= {arXiv preprint arXiv:1604.06510},
year = {2017}
}