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A generalized Fourier inversion Theorem.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Dec2008, Vol. 39 Issue 4, p555-571. 17p. - Publication Year :
- 2008
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 39
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 35642154
- Full Text :
- https://doi.org/10.1007/s00574-008-0004-6