Wiener's inversion theorem for a certain class of *-algebras

Tobias Blendek

Colloquium Mathematicae (2014)

  • Volume: 137, Issue: 1, page 103-116
  • ISSN: 0010-1354

Abstract

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We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.

How to cite

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Tobias Blendek. "Wiener's inversion theorem for a certain class of *-algebras." Colloquium Mathematicae 137.1 (2014): 103-116. <http://eudml.org/doc/283970>.

@article{TobiasBlendek2014,
abstract = {We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.},
author = {Tobias Blendek},
journal = {Colloquium Mathematicae},
keywords = {Fourier transform; *-algebras; -algebra; enveloping -algebra; -algebra; -algebra},
language = {eng},
number = {1},
pages = {103-116},
title = {Wiener's inversion theorem for a certain class of *-algebras},
url = {http://eudml.org/doc/283970},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Tobias Blendek
TI - Wiener's inversion theorem for a certain class of *-algebras
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 1
SP - 103
EP - 116
AB - We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.
LA - eng
KW - Fourier transform; *-algebras; -algebra; enveloping -algebra; -algebra; -algebra
UR - http://eudml.org/doc/283970
ER -

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