4 citations · 9 across the 12 of their papers we have counts for
13 papers
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…
New Results on Spectral Synthesis
László Székelyhidi
In our 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 idea…
On the isometric version of Whitney's strong embedding theorem
Wentao Cao, László Székelyhidi
We prove a version of Whitney's strong embedding theorem for isometric embeddings within the general setting of the Nash-Kuiper h-principle. More precisely, we show that any -di…
Spectral Synthesis on Varieties
László Székelyhidi
In his classical paper, Laurent Schwartz proved that on the real line, in every linear translation invariant space of continuous complex valued functions, which is closed under com…
The Baire category method for intermittent convex integration
Gabriel Sattig, László Székelyhidi
We use a convex integration construction from \cite{ModenaSattig2020} in a Baire category argument to show that weak solutions to the transport equation with incompressible vector…
Nonexistence of configurations for hyperbolic systems and the Liu entropy condition
Sam G. Krupa, László Székelyhidi
We study the constitutive set arising from a system of conservation laws in one space dimension, endowed with one entropy and entropy-flux pair. The conve…
Spherical spectral synthesis
László Székelyhidi
In this paper we make an attempt to extend L. Schwartz's classical result on spectral synthesis to several dimensions. Due to counterexamples of D. I. Gurevich this is impossible f…
Montel-type theorems for exponential polynomials
J. M. Almira, L. Székelyhidi
In this paper we characterize local exponential monomials and polynomials on different types of Abelian groups and we prove Montel-type theorems for these function classes.