3 papers
math.CV2025
The -Dirac Operator on Quantum Euclidean Space
Swanhild Bernstein, Martha Lina Zimmermann, Baruch Schneider
This paper provides the foundations of quantum Clifford analysis in -commutative variables with symmetric difference operators. We consider a -Dirac operator on the quantum E…
math.SP2025
Magnetic Dirichlet Laplacian in curved waveguides
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider +1
For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable. Any perturbation of the straight strip produces eigenvalues below…
math.CV2021
Beurling-Lax type theorems and Cuntz relations
D. Alpay, F. Colombo, I. Sabadini +1
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also stu…