PEGO THEOREM ON COMPACT GROUPS

被引：0

作者：

Kumar, Manoj ^{[1
]}

机构：

[1] Indian Inst Sci Bangalore, Dept Math, Bangalore, India

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2024年 / 328卷 / 01期

关键词：

compact group; Fourier transform; compactness;

D O I：

10.2140/pjm.2024.328.137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Pego theorem characterizes the precompact subsets of the squareintegrable functions on R n via the Fourier transform. We prove the analogue of the Pego theorem on (not necessarily abelian) compact groups.

引用

页码：136 / 145

页数：10

共 50 条

[1] PEGO THEOREM ON LOCALLY COMPACT ABELIAN GROUPS
Gorka, Przemyslaw
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (04)
[2] A structure theorem on compact groups
Hofmann, KH
Morris, SA
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2001, 130 : 409 - 426
[3] JACKSON'S THEOREM FOR COMPACT GROUPS
H. Vaezi (University of Tabriz
Analysis in Theory and Applications, 2002, (03) : 79 - 85
[4] A decomposition theorem for locally compact groups
Basu, Sanjib
Dutta, Krishnendu
GEORGIAN MATHEMATICAL JOURNAL, 2019, 26 (01) : 29 - 33
[5] THEOREM ON COMPACT SIMPLE LIE GROUPS
KALLMAN, RR
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A16 - A16
[6] BERNSTEINS THEOREM FOR COMPACT-GROUPS
BENKE, G
JOURNAL OF FUNCTIONAL ANALYSIS, 1980, 35 (03) : 295 - 303
[7] A characterization theorem on compact Abelian groups
Gennadiy Feldman
Journal of Fourier Analysis and Applications, 2021, 27
[8] WIENERS THEOREM AND LOCAL COMPACT GROUPS
REITER, H
COMMENTARII MATHEMATICI HELVETICI, 1974, 49 (03) : 333 - 364
[9] A characterization theorem on compact Abelian groups
Feldman, Gennadiy
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 27 (05)
[10] A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS
Junge, Marius
Neufang, Matthias
Ruan, Zhong-Jin
INTERNATIONAL JOURNAL OF MATHEMATICS, 2009, 20 (03) : 377 - 400

← 1 2 3 4 5 →