Fourier-Stieltjes localization in neighborhoods of finite-dimensional irreducible representations of locally compact groups

DOI10.1134/S106192080604008XzbMath1121.43003MaRDI QIDQ871791

Alexander I. Shtern

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Fourier-Stieltjes transformamenable locally compact groupsLocalization principle

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Amenable semigroups
• Almost convergence and its applications to the Fourier-Stieltjes localization
• Values of invariant means, left averaging, and criteria for a locally compact group to be amenable as discrete group
• On the structure of the Fourier-Stieltjes algebra
• Weak containment and Kronecker products of group representations
• A contribution to the theory of divergent sequences
• linear means with hyperbolic multipliers
• Generalized Almost Periodicity in Groups
• ON THE SUMMABILITY OF DOUBLE FOURIER SERIES AT A POINT
• LOCALLY BICOMPACT GROUPS WITH FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS
• L'algèbre de Fourier d'un groupe localement compact
• Groups with Finite Dimensional Irreducible Representations
• Abstract Ergodic Theorems and Weak Almost Periodic Functions