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arXiv · 1604.06510

Time and band limiting for matrix valued functions: an integral and a commuting differential operator

F. Alberto Grünbaum·Inés Pacharoni·Ignacio Nahuel Zurrián
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Abstract

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. Here we show that this same miracle holds in a matrix valued version of the same problem.

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F. Alberto Grünbaum, Inés Pacharoni, Ignacio Nahuel Zurrián. 2016-04-21. Time and band limiting for matrix valued functions: an integral and a commuting differential operator. https://doi.org/10.1088/1361-6420%2Faa53b8

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