26 citations · 35 across the 14 of their papers we have counts for
15 papers
Decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions
Lianet De la Cruz Toranzo, Ricardo Abreu Blaya, Swanhild Bernstein
In this paper we solve the problem on finding a sectionally Clifford algebra-valued harmonic function, zero at infinity and satisfying certain boundary value condition related to h…
Construction of Weighted Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Swanhild Bernstein
We develop some properties and the Bonnet formula for Clifford Gegenbauer polynomials. Then after we define and construct weighted Clifford prolate spheroidal wave functions. We th…
Magnetic Neumann Laplacian on a domain with hole
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider
This article gives a domain with a small compact set of removed and the magnetic Neumann Laplacian on such set. The main theorem of this article shows the description of the holes…
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.
Brownian motion, martingales and Itô formula in Clifford analysis
Swanhild Bernstein, Dmitrii Legatiuk
Clifford analysis has been the field of active research for several decades resulting in various methods to solve problems in pure and applied mathematics. However, the area of sto…
The Segal-Bargmann Transform in Clifford Analysis
Swanhild Bernstein, Sandra Schufmann
The Segal-Bargmann transform plays an essential role in signal processing, quantum physics, infinite-dimensional analysis, function theory and further topics. The connection to sig…