Equality of two spectra arising in harmonic analysis and semigroup theory

DOI10.1090/S0002-9939-01-06146-9zbMath0991.47026OpenAlexW1955827212MaRDI QIDQ2759013

Eva Fašangová, Ralph Chill

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06146-9

zbMATH Keywords

Fourier transformTauberian theorem\(C_0\)-groupshift groupspectrum of a function

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Tauberian theorems (40E05)

Related Items (5)

Comparison of spectra of absolutely regular distributions and applications ⋮ Relations between different types of spectra and spectral characterizations ⋮ Remarks on spectra and 𝐿¹ multipliers for convolution operators ⋮ Asymptotic behavior of solutions to abstract functional differential equations ⋮ A spectral theory of continuous functions and the Loomis-Arendt-Batty-Vu theory on the asymptotic behavior of solutions of evolution equations

Cites Work

• The spectral characterization of a class of almost periodic functions
• Almost periodic solutions of first- and second-order Cauchy problems
• Asymptotically Almost Periodic Solutions of Inhomogeneous Cauchy Problems on The Half-Line
• One-Parameter Semigroups for Linear Evolution Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Equality of two spectra arising in harmonic analysis and semigroup theory