On two variable Beurling algebra analogues of theorems of Wiener and Lévy on Fourier series

DOI10.1090/PROC/14860zbMath1482.42005OpenAlexW2982410765WikidataQ113823023 ScholiaQ113823023MaRDI QIDQ5027147

Prakash A. Dabhi

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14860

zbMATH Keywords

commutative Banach algebraFourier seriesBeurling algebraWiener\(p\)-Banach algebraLévy and Żelazko theorems

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Harmonic analysis based on certain commutative Banach algebras
• Beurling algebra analogues of the classical theorems of Wiener and Lévy on absolutely convergent Fourier series
• Beurling algebra analogues of theorems of Wiener–Lévy–Żelazko and Żelazko
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