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

Author: S. S. Platonov
Translated by: S. Kislyakov
Original publication: Algebra i Analiz, tom 24 (2012), nomer 4.
Journal: St. Petersburg Math. J. 24 (2013), 663-675
MSC (2010): Primary 43A45
Published electronically: May 24, 2013
MathSciNet review: 3088012
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Abstract: It is shown that spectral synthesis occurs in the space of functions of exponential growth on an arbitrary finitely-generated discrete Abelian group.

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Additional Information

S. S. Platonov
Affiliation: Petrozavodsk State University, Prospect Lenina 33, Petrozavodsk 185910, Russia

Keywords: Spectral synthesis, finitely generated Abelian group, functions of exponential growth, invariant subspaces
Received by editor(s): September 9, 2011
Published electronically: May 24, 2013
Article copyright: © Copyright 2013 American Mathematical Society