Spectral synthesis in the space of functions of exponential growth on a finitely generated Abelian group

DOI10.1090/S1061-0022-2013-01259-3zbMath1284.43005MaRDI QIDQ2849194

Sergei S. Platonov

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

invariant subspacesspectral synthesisfinitely generated abelian groupfunctions of exponential growth

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Other transforms and operators of Fourier type (43A32) Spectral synthesis on groups, semigroups, etc. (43A45)

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On spectral synthesis on zero-dimensional Abelian groups

Cites Work

• Spectral synthesis on torsion groups
• On the ideal structure of some algebras of analytic functions
• Théorie générale des fonctions moyenne-périodiques
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
• Idéaux et modules de fonctions analytiques de variables complexes
• Analyse Et Synthese Harmoniques Dans Les Espaces De Distributions
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