Annihilator Methods in Discrete Spectral Synthesis
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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 phrasespolynomial function spectral synthesis Noetherian ring
Mathematics Subject Classification16P40 39A70 39A99 43A45
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