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Acta Mathematica Hungarica

, Volume 143, Issue 2, pp 351–366 | Cite as

Annihilator Methods in Discrete Spectral Synthesis

  • L. SzékelyhidiEmail author
Article

Abstract

Spectral synthesis deals with the description of translation invariant function spaces on groups. On commutative Abelian groups the basic building bricks of spectral synthesis are the exponential monomials. In this paper we exhibit some methods which can be used to characterize exponential monomials and related function classes using ring-theoretical tools, like modified differences and annihilators.

Key words and phrases

polynomial function spectral synthesis Noetherian ring 

Mathematics Subject Classification

16P40 39A70 39A99 43A45 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2014

Authors and Affiliations

  1. 1.Institute of Mathematics, University of DebrecenDebrecenHungary
  2. 2.Department of Mathematics, University of BotswanaDebrecenHungary

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