Weil–Brezin Map
id:
weil-brezin-map-282-4775185
title:
Weil–Brezin Map
text:
In mathematics, the Weil–Brezin map, named after André Weil and Jonathan Brezin, is a unitary transformation that maps a Schwartz function on the real line to a smooth function on the Heisenberg manifold. The Weil–Brezin map gives a geometric interpretation of the Fourier transform, the Plancherel theorem and the Poisson summation formula. The image of Gaussian functions under the Weil–Brezin map are nil-theta functions, which are related to theta functions. The Weil–Brezin map is sometimes refe
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Weil%E2%80%93Brezin_Map
date created:
date modified:
2023-09-01T23:37:22Z
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13
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