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

[11] BEURLING THEOREM FOR LOCALLY COMPACT-GROUPS
WEIT, Y
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 78 (02) : 259 - 260
[12] On a characterization theorem for locally compact Abelian groups
Feldman, GM
PROBABILITY THEORY AND RELATED FIELDS, 2005, 133 (03) : 345 - 357
[13] The Skitovich-Darmois theorem for compact groups
Fel'dman, GM
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1997, 41 (04) : 768 - 773
[14] A decomposition theorem for compact groups with an application to supercompactness
Kubis, Wieslaw
Turek, Slawomir
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (03): : 593 - 602
[15] THEOREM ON CONTINUITY OF HOMOMORPHISMS OF LOCALLY COMPACT GROUPS
VAROPOULOS, NT
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (03): : 449 - &
[16] MULTIPLICITY THEOREM FOR REPRESENTATIONS OF INHOMOGENEOUS COMPACT GROUPS
DOEBNER, HD
TOLAR, J
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (04) : 284 - &
[17] SHANNON'S THEOREM FOR LOCALLY COMPACT GROUPS
Forghani, Behrang
Tiozzo, Giulio
ANNALS OF PROBABILITY, 2022, 50 (01): : 61 - 89
[18] FROBENIUS RECIPROCITY THEOREM FOR LOCALLY COMPACT GROUPS
MOORE, CC
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (01) : 359 - &
[19] A THEOREM OF LITTLEWOOD AND LACUNARY SERIES FOR COMPACT GROUPS
FIGATALA, A
RIDER, D
PACIFIC JOURNAL OF MATHEMATICS, 1966, 16 (03) : 505 - &
[20] On the Skitovich–Darmois Theorem for Compact Abelian Groups
G. M. Feldman
P. Graczyk
Journal of Theoretical Probability, 2000, 13 : 859 - 869

← 1 2 3 4 5 →