activity
20052026
most citedOn Fuglede's conjecture and the existence of universal spectra

93 citations · 296 across the 38 of their papers we have counts for

collaborators

41 papers

math.FA2026

A class of port-Hamiltonian systems with general time delays

Rogelio Arancibia Bustos, Bálint Farkas, Birgit Jacob +1

We define a class of infinite dimensional linear port-Hamiltonian delay systems, give a characterization for such systems, and provide an easily verifiable sufficient condition to…

math.FA2026

Duality for Delsarte's extremal problem on locally compact Abelian groups

Elena E. Berdysheva, Bálint Farkas, Marcell Gaál +2

The Delsarte extremal problem for positive definite functions, originally introduced by Delsarte in coding theory to bound the size of error-correcting codes, has since found appli…

math.CA2026

Duality for Delsarte's extremal problem on compact Gelfand pairs

Elena E. Berdysheva, Bálint Farkas, Marcell Gaál +2

We study Delsarte-type problems for positive definite functions on compact Gelfand pairs as infinite-dimensional linear programming problems. This setup includes, as a particular c…

math.OC2025

Dissipativity-based time domain decomposition for optimal control of hyperbolic PDEs

Bálint Farkas, Birgit Jacob, Manuel Schaller +1

We propose a time domain decomposition approach to optimal control of partial differential equations (PDEs) based on semigroup theoretic methods. We formulate the optimality system…

math.FA2023

Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems

Bálint Farkas, Birgit Jacob, Timo Reis +1

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it doe…

math.CA2022★ 1 cited

Fenton type minimax problems for sum of translates functions

Bálint Farkas, Béla NAgy, Szilárd Gy. Révész

Following P. Fenton, we investigate sum of translates functions , where $J:[0,1]\to {\underline{\mathbb{R}}}:=\mathbb{R}\cup\{-\inf…