34 citations · 149 across the 17 of their papers we have counts for
6 papers · 1 filter
Linear independence of time-frequency translates for ultimately positive functions
Romanos Diogenes Malikiosis, Nikos Poursalidis
We prove that the HRT conjecture holds when the Gabor system consists of a 4-point set in the time-frequency plane and a square-integrable function that is ultimately positive. We…
A linear programming approach to Fuglede's conjecture in
Romanos Diogenes Malikiosis
We present an approach to Fuglede's conjecture in using linear programming bounds, obtaining the following partial result: if with $p^2-…
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…
On the structure of spectral and tiling subsets of cyclic groups
Romanos Diogenes Malikiosis
The purpose of this paper is to investigate the properties of spectral and tiling subsets of cyclic groups, with an eye towards the spectral set conjecture in one dimension, which…
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…
Fuglede's conjecture on cyclic groups of order
Romanos-Diogenes Malikiosis, Mihail N. Kolountzakis
We show that the spectral set conjecture by Fuglede holds in the setting of cyclic groups of order , where , are distinct primes and . This means that a subse…