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arXiv · 1102.4475

Harmonic analysis on Heisenberg--Clifford Lie supergroups

Alexander Alldridge·Joachim Hilgert·Martin Laubinger
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Abstract

We define a Fourier transform and a convolution product for functions and distributions on Heisenberg--Clifford Lie supergroups. The Fourier transform exchanges the convolution and a pointwise product, and is an intertwining operator for the left regular representation. We generalize various classical theorems, including the Paley--Wiener--Schwartz theorem, and define a convolution Banach algebra.

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BibTeXRIS

Alexander Alldridge, Joachim Hilgert, Martin Laubinger. 2011-02-22. Harmonic analysis on Heisenberg--Clifford Lie supergroups. https://doi.org/10.1112/jlms%2Fjds058

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