3 papers
math-ph2026
Continuum limit of discretized matrix-valued Fourier multipliers
Ruben Karapetyan, MatÄj TuÅ¡ek
Building upon a recent result by H. Cornean, H. Garde, and A. Jensen concerning continuum limits of discrete Dirac operators, we extend the analysis to a wide class of block operat…
math-ph2025
Non-self-adjoint Dirac operators on graphs
Markus Holzmann, Václav Růžek, MatÄj TuÅ¡ek
In this paper we introduce and study generally non-self-adjoint realizations of the Dirac operator on an arbitrary finite metric graph. Employing the robust boundary triple framewo…
math.SP2025
Two-dimensional Schrödinger operators with non-local singular potentials
Lukáš Heriban, Markus Holzmann, Christian Stelzer-Landauer +2
In this paper we introduce and study a family of self-adjoint realizations of the Laplacian in with a new type of transmission conditions along a closed bi-Lips…