1 citations · 1 across the 3 of their papers we have counts for
5 papers
-Fock Space of -Analytic Functions and its realization in
Amedeo Altavilla, Swanhild Bernstein, Martha Lina Zimmermann
We introduce a -deformation of the Fock space of holomorphic functions on , based on a geometric definition of -analyticity. This definition is inspired by a stan…
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…
Conjugate -harmonic Polynomials in -Clifford Analysis
Swanhild Bernstein, Amedeo Altavilla, Martha Lina Zimmermann
We consider the problem of constructing a conjugate -harmonic homogeneous polynomial of degree to a given -harmonic homogeneous polynomial of de…
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…
First steps towards -deformed Clifford analysis
Martha Lina Zimmermann, Swanhild Bernstein, Baruch Schneider
We consider the extension of the Jackson calculus into higher dimensions and specifically into Clifford analysis.