Annihilator Methods in Discrete Spectral Synthesis

作者：Szekelyhidi L^*

来源：Acta Mathematica Hungarica, 2014, 143(2): 351-366.

DOI：10.1007/s10474-014-0396-2

• polynomial function
• spectral synthesis
• Noetherian ring

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.

• 出版日期2014-8