53 citations · 152 across the 17 of their papers we have counts for
17 papers
Integro-differential rings on species and derived structures
Xing Gao, Li Guo, Markus Rosenkranz +2
In the theory of species, differential as well as integral operators are known to arise in a natural way. In this paper, we shall prove that they precisely fit together in the alge…
Heisenberg Groups via Algebra
Günter Landsmann, Markus Rosenkranz
We introduce a general class of Heisenberg groups motivated by applications of algebraic Fourier theory. Basic properties are examined from a homological perspective.
An Algebraic Approach to Fourier Transformation
Markus Rosenkranz, Günter Landsmann
The notion of Fourier transformation is described from an algebraic perspective that lends itself to applications in Symbolic Computation. We build the algebraic structures on the…
An Integro-Differential Structure for Dirac Distributions
Markus Rosenkranz, Nitin Serwa
We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide…
On Rings of Differential Rota-Baxter Operators
Xing Gao, Li Guo, Markus Rosenkranz
Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying th…
Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates
M. Rosenkranz, J. Liu, A. Maletzky +1
We develop a new theory for treating boundary problems for linear ordinary differential equations whose fundamental system may have a singularity at one of the two endpoints of the…