An explanation of the commuting operator "miracle" in time and band limiting
Spectral Theory
2022-01-14 v1 Mathematical Physics
math.MP
Abstract
Time and band limiting operators are expressed as functions of the confluent Heun operator arising in the spheroidal wave equation. Explicit formulas are obtained when the bandwidth parameter is either small or large and results on the complete Fourier transform are recovered.
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Cite
@article{arxiv.2201.03646,
title = {An explanation of the commuting operator "miracle" in time and band limiting},
author = {Pierre-Antoine Bernard and Nicolas Crampe and Luc Vinet},
journal= {arXiv preprint arXiv:2201.03646},
year = {2022}
}
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14 pages