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

被引：0

作者：

Shtern, A. I. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 13卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Localization Principle; Compact Group; Compact Abelian Group; Irreducible Unitary Representation; Double Fourier Series;

D O I：

10.1134/S106192080604008X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analog of the localization principle for the almost convergence for any element of the Fourier-Stieltjes algebra (Fourier-Stieltjes transforms of bounded measures) is established for any unimodular amenable locally compact groups in neighborhoods of finite-dimensional representations of these groups.

引用

页码：458 / 465

页数：8

共 7 条

[1] Fourier-Stieltjes localization in neighborhoods of finite-dimensional irreducible representations of locally compact groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2006, 13 : 458 - 465
[2] Continuity conditions for finite-dimensional representations of connected locally compact groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2012, 19 : 499 - 501
[3] Fourier-Stieltjes transforms over homogeneous spaces of compact groups
Farashahi, Arash Ghaani
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (02) : 511 - 547
[4] Continuity conditions for finite-dimensional representations of some locally bounded groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2006, 13 : 438 - 457
[5] Structure of finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2009, 16 : 133 - 138
[6] Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations
Shtern, A. I.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2009, 16 (04) : 566 - 567
[7] Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations
A. I. Shtern
Russian Journal of Mathematical Physics, 2009, 16 : 566 - 567

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