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

• Autorzy: Tobias Blendek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 46K10: Representations of topological algebras with involution
• 46K05: General theory of topological algebras with involution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 1
• Strony: 103-116

Daty

wydano

2014

Twórcy

autor

Tobias Blendek

• Department of Mathematics and Statistics, Helmut Schmidt University Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany

Identyfikatory

DOI

10.4064/cm137-1-7