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Spectral synthesis on discrete Abelian groups

Published online by Cambridge University Press:  01 July 2007

M. LACZKOVICH  and
L. SZÉKELYHIDI
M. LACZKOVICH
Affiliation:
Department of Analysis, Eötvös Loránd University, Budapest, Pázmány Péter sétány 1/C 1117, Hungaryand Department of Mathematics, University College London, Gower Street, London, WC1E 6BT. e-mail: laczk@cs.elte.hu
L. SZÉKELYHIDI
Affiliation:
Institute of Mathematics, University of Debrecen, Debrecen, P.O. Box 12, 4010Hungary. e-mail: szekely@math.klte.hu
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Abstract

We prove that spectral synthesis holds on a discrete Abelian group G if and only if the torsion free rank of G is finite.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 1 , July 2007 , pp. 103 - 120
Copyright
Copyright © Cambridge Philosophical Society 2007

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