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arXiv · 0802.0382

A generalized Fourier inversion theorem

Alcides Buss
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Abstract

In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a generalized version of the Fourier inversion Theorem for strictly-unconditionally integrable Fourier transforms. Our results generalize and improve those previously obtained by Ruy Exel in the case of Abelian groups.

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Alcides Buss. 2009-03-26. A generalized Fourier inversion theorem. https://doi.org/10.1007/s00574-008-0004-6

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