23 citations · 49 across the 27 of their papers we have counts for
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The Szegö metric associated to Hardy spaces of Clifford algebra valued functions and some geometric properties
Dennis Grob, Rolf Soeren Krausshar
In analogy to complex function theory we introduce a Szegö metric in the context of hypercomplex function theory dealing with functions that take values in a Clifford algebra. In p…
The Klein-Gordon operator on Möbius strip domains and the Klein bottle in
Rolf Soeren Krausshar
In this paper we present explicit formulas for the fundamental solution to the Klein-Gordon operator on some higher dimensional generalizations of the Möbius strip and the Klein bo…
The Schrödinger semigroup on some flat and non flat manifolds
R. S. Krausshar, M. M. Rodrigues, N. Vieira
In this paper we apply known techniques from semigroup theory to the Schrödinger problem with initial conditions. To this end, we define the regularized Schrödinger semigroup actin…
Dirac and Laplace operators on some non-orientable conformally flat manifolds
Rolf Sören Krausshar
In this paper we present an explicit construction for the fundamental solution to the Dirac and Laplace operator on some non-orientable conformally flat manifolds. We first treat a…
A new class of hypercomplex analytic cusp forms
Denis Constales, Dennis Grob, Rolf Soeren Krausshar +1
In this paper we deal with a new class of Clifford algebra valued automorphic forms on arithmetic subgroups of the Ahlfors-Vahlen group. The forms that we consider are in the kerne…