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

DOI10.3103/S1066369X16120100zbMath1368.42027OpenAlexW2555020516MaRDI QIDQ2363400

Duglas K. Ugulava

Publication date: 19 July 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x16120100

zbMATH Keywords

charactersFourier seriesalmost-periodic functionslocally compact abelian groupsdual group

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Cites Work

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• An analogue of the Paley-Wiener theorem
• The approximation of functions of many variables by their Fejer sums
• Approximation of functions on locally compact abelian groups
• The Laplace Transform for Locally Compact Abelian Groups
• Almost Periodic Functions on Locally Compact Groups

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