Harmonic Analysis of Periodic at Infinity Functions from Stepanov Spaces

DOI10.18500/1816-9791-2017-17-2-172-182zbMath1390.42007OpenAlexW2617113576MaRDI QIDQ4639867

I. I. Strukova

Publication date: 11 May 2018

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2017-17-2-172-182

zbMATH Keywords

periodic at infinity functionslowly varying at infinity function\(L^1(\mathbb{R})\)-module

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Harmonic Analysis of Operator Semigroups Slowly Varying at Infinity

Cites Work

• On Wiener's theorem for functions periodic at infinity
• Spectral criteria for almost periodicity of solutions of functional equations
• Harmonic and spectral analysis of power bounded operators and bounded semigroups of operators on Banach spaces
• A short course on operator semigroups
• Harmonic analysis of causal operators and their spectral properties
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• 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
• Harmonic Analysis of Periodic Vectors and Functions Periodic at Infinity
• Regularly varying functions
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