53 citations · 152 across the 17 of their papers we have counts for
10 papers · 1 filter
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…
An Algebraic Study of Multivariable Integration and Linear Substitution
Markus Rosenkranz, Xing Gao, Li Guo
We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitab…
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
Li Guo, Markus Rosenkranz, Shanghua Zheng
Rota-Baxter operators are an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota-Baxter operators and integrals in the…