On distributions that are almost periodic at infinity

DOI10.1007/s10958-022-05946-1OpenAlexW4283031762WikidataQ114225159 ScholiaQ114225159MaRDI QIDQ2160251

V. E. Strukov

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.1007/s10958-022-05946-1

zbMATH Keywords

homogeneous spaceFourier seriesBanach modulealmost periodic vectordistribution almost periodic at infinitydistribution of slow growthdistribution slowly varying at infinity

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Cites Work

• On Wiener's theorem for functions periodic at infinity
• Solutions almost periodic at infinity to differential equations with unbounded operator coefficients
• Spectral analysis of abstract parabolic operators in homogeneous function spaces
• Harmonic and spectral analysis of power bounded operators and bounded semigroups of operators on Banach spaces
• Vector-valued Laplace Transforms and Cauchy Problems
• Harmonic analysis of causal operators and their spectral properties
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• Harmonic Analysis of Periodic at Infinity Functions in Homogeneous Spaces
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
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