Beurling's theorem for functions with essential spectrum from homogeneous spaces and stabilization of solutions of parabolic equations

DOI10.1134/S0001434612110016zbMath1264.43008OpenAlexW2155248901MaRDI QIDQ1946419

N. S. Kaluzhina, Anatoly G. Baskakov

Publication date: 15 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612110016

zbMATH Keywords

Fourier transformparabolic equationBanach spacelocally compact Abelian groupBanach moduledirected setcontinuous unitary characterBeurling spectrum of a functionStepanov set

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Initial value problems for second-order parabolic equations (35K15) Analysis on specific locally compact and other abelian groups (43A70)

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Cites Work

• Stabilization of the solution of the Cauchy problem for parabolic equations
• On the spectral analysis of bounded functions
• Un théorème sur les fonctions bornees et uniformement continues sur l'axe réel
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Sur un mode de croissance régulière. Théorèmes fondamentaux
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
• Some Results of Narrow Spectral Analysis.
• Théorèmes taubériens et théorie spectrale
• Regularly varying functions
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