Harmonic Analysis of Periodic Vectors and Functions Periodic at Infinity

DOI10.1007/s10958-015-2641-9zbMath1349.42014OpenAlexW2274375360MaRDI QIDQ5741352

I. I. Strukova

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2641-9

zbMATH Keywords

Banach algebraBanach spaceFourier seriesWiener theoremperiodic vectorslowly varying at infinity functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (2)

Harmonic Analysis of Periodic at Infinity Functions from Stepanov Spaces ⋮ On the almost periodic at infinity functions from homogeneous spaces

Cites Work

• Wiener's lemma and memory localization
• Wiener's theorem and the asymptotic estimates of the elements of inverse matrices
• An almost periodic noncommutative Wiener's Lemma
• General ergodic theorems in Banach modules
• Abstract harmonic analysis and asymptotic estimates of elements of inverse matrices
• Asymptotic estimates for the entries of the matrices of inverse operators and harmonic analysis
• Harmonic analysis of causal operators and their spectral properties
• Estimates for the entries of inverse matrices and the spectral analysis of linear operators
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
• Tauberian theorems
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