8 papers · 1 filter
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…
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…
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…
The Principal Ideal Theorem in Spectral Synthesis
László Székelyhidi
In an earlier paper we solved a long-standing problem which goes back to Laurent Schwartz's work on mean-periodic functions. Namely, we completely characterised those locally compa…
Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis
László Székelyhidi
In this paper we solve a long-standing problem which goes back to Laurent Schwartz's work on mean periodic functions. Namely, we completely characterise those locally compact Abeli…
Spectral Synthesis on Direct Products
László Székelyhidi
In a former paper we introduced the concept of localisation of ideals in the Fourier algebra of a locally compact Abelian group. It turns out that localisability of a closed ideal…