Orlicz Algebras on Homogeneous Spaces of Compact Groups and Their Abstract Linear Representations

被引：2

作者：

Kumar, Vishvesh ^{[1
]}

Sarma, R. ^{[1
]}

Kumar, N. Shravan ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Math, Delhi 110016, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 04期

关键词：

Homogeneous space; compact groups; convolution function algebra; Orlicz spaces;

D O I：

10.1007/s00009-018-1225-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a compact group, H a closed subgroup of G and let m be the normalized G-invariant measure on the homogeneous space G / H obtained from Weil's formula. In this article, for a given Young function , we give a new class of Banach convolution algebras on homogeneous spaces of compact groups by introducing a convolution and an involution on the Orlicz space . Finally, a class of linear representations of this class of Banach convolution algebras is presented.

引用

页数：13

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