5 papers · 1 filter
-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…
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…
Paley-Wiener Type Theorems associated to Dirac Operators of Riesz-Feller type
Swanhild Bernstein, Nelson Faustino
This paper explores Paley-Wiener type theorems within the framework of hypercomplex variables. The investigation focuses on a space-fractional version of the Dirac operator $\mathb…
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…
Hardy decomposition of higher order Lipschitz classes by polymonogenic functions
Lianet De la Cruz Toranzo, Ricardo Abreu Blaya, Swanhild Bernstein
In this paper we find a decomposition of higher order Lipschitz functions into the traces of a polymonogenic function and solve a related Riemann-Hilbert problem. Our approach lies…