Vector Fourier analysis on compact groups and Assiamoua spaces

2024/10/19 by Mensah, Yaogan · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2410.15211

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.

Cited by

• Spectral Barron spaces of vector-valued functions on compact groups

Related

• Fourier analysis associated to a vector measure on a compact group
• Spectral Barron spaces of vector-valued functions on compact groups
• Sobolev spaces of vector-valued functions on compact groups
• Vector-valued Hausdorff-Young inequality on compact groups
• Elements of harmonic analysis, 3