3 papers
math.FA2024
Harmonic Synthesis on Group Extensions
László Székelyhidi
Harmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L. Schwartz state…
math.FA2024
Spectral Analysis Implies Spectral Synthesis
László Székelyhidi
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups, which have no discrete subgroup of infinite torsi…
math.FA2024
Spectral Synthesis on Continuous Images
László Székelyhidi
Recently we introduced the concept of localisability of ideals in the Fourier algebra of locally compact Abelian groups. It turns out that localisability can be used to characteris…