Annihilator methods for spectral synthesis on locally compact Abelian groups

作者：Szekelyhidi Laszlo^*

来源：Monatshefte fur Mathematik, 2016, 180(2): 357-371.

DOI：10.1007/s00605-015-0822-8

• Group algebra
• Spectral analysis
• Spectral synthesis
• Annihilator
• Exponential monomial

Spectral analysis and spectral synthesis study translation invariant linear function spaces on Abelian groups. Basic function classes for this study are the exponential monomials. These function classes have been investigated on discrete Abelian groups successfully using the annihilator method. In this paper we extend this technique to non-discrete locally compact Abelian groups.

• 出版日期2016-6