11 citations · 14 across the 4 of their papers we have counts for
4 papers
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…
Fock Spaces, Landau Operators and the Regular Solutions of time-harmonic Maxwell equations
Denis Constales, Nelson Faustino, Soeren Krausshar
We investigate the representations of the solutions to Maxwell's equations based on the combination of hypercomplex function-theoretical methods with quantum mechanical methods. Ou…
Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups
Elizabeth Bulla, Denis Constales, Rolf Soeren Krausshar +1
Fundamental solutions of Dirac type operators are introduced for a class of conformally flat manifolds. This class consists of manifolds obtained by factoring out the upper half-sp…
k-hypermonogenic automorphic forms
Denis Constales, Rolf Soeren Krausshar, John Ryan
In this paper we deal with monogenic and -hypermonogenic automorphic forms on arithmetic subgroups of the Ahlfors-Vahlen group. Monogenic automorphic forms are exactly the 0-hyp…