HARMONIC ANALYSIS OF COSINE AND EXPONENTIAL OPERATOR-VALUED FUNCTIONS

DOI10.1070/SM1985V052N01ABEH002878zbMath0569.43004OpenAlexW2084810074MaRDI QIDQ3687185

Anatoly G. Baskakov

Publication date: 1985

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1985v052n01abeh002878

zbMATH Keywords

summabilityspectral analysisweightBeurling spectrumcosine operator functionsalmost periodicity

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Spectral synthesis on groups, semigroups, etc. (43A45) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (10)

Linear differential operators and operator matrices of the second order ⋮ On Wiener's theorem for functions periodic at infinity ⋮ Harmonic analysis of functions almost periodic at infinity in Banach modules ⋮ Harmonic Analysis of Periodic at Infinity Functions in Homogeneous Spaces ⋮ Spectral theory of functions in studying partial differential operators ⋮ Almost periodic at infinity solutions to integro-differential equations with non-invertible operator at derivative ⋮ Almost periodic solutions at infinity of differential equations and inclusions ⋮ Solutions almost periodic at infinity to differential equations with unbounded operator coefficients ⋮ Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity ⋮ ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES AS SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH UNBOUNDED OPERATOR COEFFICIENTS

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