22 citations · 77 across the 38 of their papers we have counts for
14 papers · 1 filter
Spectral Tile Direction in the Group
Thomas Fallon, Gergely Kiss, Azita Mayeli +1
Let , , and be distinct primes such that . We prove that every spectral set in the cyclic group is a tile. Since the reverse direction is…
Polynomial equations for additive functions II
Eszter Gselmann, Gergely Kiss
In this sequence of work we investigate polynomial equations of additive functions. We consider the solutions of equation \[ \sum_{i=1}^{n}f_{i}(x^{p_{i}})g_{i}(x)^{q_{i}}= 0 \qqua…
Sincov's and other functional equations and negative interest rates
Gergely Kiss, Jens Schwaiger
Investigating the future value of a capital invested at date at date the "natural" condition has lost its naturality because of the strange…
Polynomial equations for additive functions I. The inner case
Eszter Gselmann, Gergely Kiss
The aim of this sequence of work is to investigate polynomial equations satisfied by additive functions. As a result of this, new characterization theorems for homomorphisms and de…
A dichotomy result for strictly increasing bisymmetric maps
Pál Burai, Gergely Kiss, Patricia Szokol
In this paper we show some remarkable consequences of the method which proves that every bisymmetric, symmetric, reflexive, strictly monotonic binary map on a proper interval is co…
Isometric rigidity of Wasserstein spaces: the graph metric case
Gergely Kiss, Tamás Titkos
The aim of this paper is to prove that the -Wasserstein space is isometrically rigid for all whenever is a countable graph metric space. As a co…
Characterization of quasi-arithmetic means without regularity condition
Pál Burai, Gergely Kiss, Patricia Szokol
In this paper we show that bisymmetry, which is an algebraic property, has a regularity improving feature. More precisely, we prove that every bisymmetric, partially strictly monot…
Spectral sets and tiles in
Thomas Fallon, Gergely Kiss, Gábor Somlai
In this paper we study Fuglede's conjecture on the direct product of two cyclic groups. After collecting the known results we prove that Fuglede's conjecture holds on $\mathbb{Z}_{…
Fuglede's conjecture holds for cyclic groups of order
Gergely Kiss, Romanos Diogenes Malikiosis, Gábor Somlai +1
The tile-spectral direction of the discrete Fuglede-conjecture is well-known for cyclic groups of square-free order, initiated by Laba and Meyerowitz, but the spectral-tile directi…
Fuglede's conjecture holds on
Gergely Kiss, Gábor Somlai
The study of Fuglede's conjecture on the direct product of elementary abelian groups was initiated by Iosevich et al. For the product of two elementary abelian groups the conjectur…
On a class of linear functional equations without range condition
Eszter Gselmann, Gergely Kiss, Csaba Vincze
The main purpose of this work is to provide the general solutions of a class of linear functional equations. Let be an arbitrarily fixed integer, let further and …
On the discrete Fuglede and Pompeiu problems
Gergely Kiss, Romanos Diogenes Malikiosis, Gábor Somlai +1
We investigate the discrete Fuglede's conjecture and Pompeiu problem on finite abelian groups and develop a strong connection between the two problems. We give a geometric conditio…
On functional equations characterizing derivations: methods and examples
Eszter Gselmann, Gergely Kiss, Csaba Vincze
Functional equations satisfied by additive functions have a special interest not only in the theory of functional equations, but also in the theory of (commutative) algebra because…
How large dimension guarantees a given angle?
Viktor Harangi, Tamás Keleti, Gergely Kiss +4
We study the following two problems: (1) Given and $\al$, how large Hausdorff dimension can a compact set $A\su\Rn$ have if does not contain three points that form an…