Harmonic analysis on Heisenberg-Clifford Lie supergroups
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- J. London Math. Society
دوره 87 شماره
صفحات -
تاریخ انتشار 2013