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.
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The research was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. NK-81402.
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Székelyhidi, L. Annihilator Methods in Discrete Spectral Synthesis. Acta Math. Hungar. 143, 351–366 (2014). https://doi.org/10.1007/s10474-014-0396-2