Abstract measure algebras over homogeneous spaces of compact groups

Author:

Ghaani Farashahi Arash1

Affiliation:

1. Laboratory for Computational Sensing and Robotics (LCSR), Whiting School of Engineering, Johns Hopkins University, Baltimore, Maryland, USA

Abstract

This paper presents a systematic study for abstract Banach measure algebras over homogeneous spaces of compact groups. Let [Formula: see text] be a closed subgroup of a compact group [Formula: see text] and [Formula: see text] be the left coset space associated to the subgroup [Formula: see text] in [Formula: see text]. Also, let [Formula: see text] be the Banach measure space consists of all complex measures over [Formula: see text]. Then we introduce the abstract notions of convolution and involution over the Banach measure space [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fourier Transform for $$L^p$$-Functions with a Vector Measure on a Homogeneous Space of Compact Groups;Journal of Fourier Analysis and Applications;2024-04

2. Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space;Iranian Journal of Science and Technology, Transactions A: Science;2020-07-28

3. Fourier–Stieltjes transforms over homogeneous spaces of compact groups;Groups, Geometry, and Dynamics;2019-05-06

4. Abstract Banach Convolution Function Modules over Coset Spaces of Compact Subgroups in Locally compact Groups;Bulletin of the Brazilian Mathematical Society, New Series;2019-01-01

5. Orlicz Algebras on Homogeneous Spaces of Compact Groups and Their Abstract Linear Representations;Mediterranean Journal of Mathematics;2018-07-31

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