A generalized Fourier inversion theorem
Functional Analysis
2009-03-26 v2 Operator Algebras
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.
Cite
@article{arxiv.0802.0382,
title = {A generalized Fourier inversion theorem},
author = {Alcides Buss},
journal= {arXiv preprint arXiv:0802.0382},
year = {2009}
}
Comments
15 pages; some typos corrected