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Time and band limiting for matrix valued functions: an integral and a commuting differential operator
April 21, 2016 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
F. Alberto GrΓΌnbaum, InΓ©s Pacharoni, Ignacio Nahuel ZurriΓ‘n
arXiv ID
1604.06510
Category
math.SP
Cross-listed
cs.IT
Citations
16
Venue
arXiv.org
Last Checked
3 months ago
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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