Vector Fourier analysis on compact groups and Assiamoua spaces
Functional Analysis
2025-02-19 v2
Abstract
This paper shows how a family of function spaces (coined as Assiamoua spaces) plays a fundamental role in the Fourier analysis of vector-valued functions compact groups. These spaces make it possible to transcribe the classic results of Fourier analysis in the framework of analysis of vector-valued functions and vector measures. The construction of Sobolev spaces of vector-valued functions on compact groups rests heavily on the members of the aforementioned family.
Cite
@article{arxiv.2410.15211,
title = {Vector Fourier analysis on compact groups and Assiamoua spaces},
author = {Yaogan Mensah},
journal= {arXiv preprint arXiv:2410.15211},
year = {2025}
}
Comments
In memory of Professor VSK Assiamoua