An analog of Wiener's theorem for infinite-dimensional Banach spaces

DOI10.1134/S0001434615010204zbMath1331.46041MaRDI QIDQ2353727

M. A. Mitrofanov, Andriy V. Zagorodnyuk

Publication date: 16 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Banach algebramaximal idealFourier seriesWiener algebraWiener's lemma

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (1)

Wiener weighted algebra of functions of infinitely many variables

Cites Work

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• Relatively weakly open sets in closed balls of Banach spaces, and the centralizer
• On a certain chain of algebras on a Hilbert sphere
• Analytic functions of absolutely convergent generalized trigonometric sums
• Generalized Analytic Functions
• Spectra of algebras of entire functions on Banach spaces
• Holomorphy types on a Banach spaces

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