Lévy and Wiener type theorems for Vilenkin-Fourier series

DOI10.1007/S10958-024-07013-3MaRDI QIDQ6579990

S. S. Volosivets

Publication date: 29 July 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Banach algebraVilenkin systemalgebra with involutionLévy theoremWiener theorem\(p\)-normed algebra

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Harmonic analysis on specific compact groups (43A75) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Harmonic analysis based on certain commutative Banach algebras
• A version of Wiener's and Lévy's theorems
• A weighted algebra analogues of Wiener's and Lévy's theorems
• Real analytic calculus for several variables and applications
• On the locally bounded and m-convex topological algebras
• Beurling algebra analogues of theorems of Wiener–Lévy–Żelazko and Żelazko
• On the analytic functions in p-normed algebras
• On a class of complete orthonormal systems
• Généralisation d'un théorème de Wiener et de Lévy
• Commutative normed rings
• Tauberian theorems
• Sur la convergence absolue des séries de Fourier.

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