Spectral Analysis Implies Spectral Synthesis

László Székelyhidi ()
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László Székelyhidi: Institute of Mathematics, University of Debrecen, 4032 Debrecen, Hungary

Mathematics, 2025, vol. 13, issue 4, 1-7

Abstract: In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.

Keywords: variety; exponential polynomials; spectral analysis; spectral synthesis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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