A generalized Fourier inversion theorem

Simple item page
dc.creatorBuss, Alcides
dc.date2008-02-04
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:56:12Z
dc.date.available2026-07-07T12:56:12Z
dc.descriptionIn 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.
dc.description15 pages; some typos corrected
dc.identifierhttps://arxiv.org/abs/0802.0382
dc.identifierhttp://arxiv.org/abs/0802.0382
dc.identifierBulletin Braz. Math. Soc. 39(4), 2008, 555-571
dc.identifierdoi:10.1007/s00574-008-0004-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224506
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject43A30; 43A35; 43A50
dc.titleA generalized Fourier inversion theorem
dc.typetext

Files

Collections

arXiv