Summability of Fourier series of almost-periodic functions on locally compact Abelian groups

D. K. Ugulava

Georgian Technical University, 77 Kostava str., Tbilisi, 0175 Georgia

Abstract: We generalize some results concerning the summability of Fourier series of continuous $2\pi$-periodic functions to almost-periodic functions on locally compact Abelian groups.

Keywords: almost-periodic functions, locally compact Abelian groups, Fourier series, dual group, characters.

UDC: 517.518

Received: 05.04.2015

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:12, 67–78

Bibliographic databases:

• 
•