A generalized Fej\'er's theorem for locally compact groups

TL;DR

This paper extends Fejér's theorem, a fundamental result in harmonic analysis, to the setting of locally compact groups, broadening its applicability beyond classical contexts.

Contribution

It introduces a generalized version of Fejér's theorem applicable to locally compact groups, expanding the theoretical framework of harmonic analysis.

Findings

Established a generalized Fejér's theorem for locally compact groups

Extended classical harmonic analysis results to new mathematical structures

Provided foundational tools for further research in group harmonic analysis

Abstract

We prove a generalized Fej\'er's theorem for locally compact groups.