6 citations · 11 across the 4 of their papers we have counts for
5 papers
Harmonic, Monogenic and Hypermonogenic Functions on Some Conformally Flat Manifolds in arising from Special Arithmetic Groups of the Vahlen Group
R. S. Krausshar, John Ryan, Qiao Yuying
This paper focuses on the development of harmonic and Clifford analysis techniques in the context of some conformally flat manifolds that arise from factoring out a simply-connecte…
Cauchy kernels for some conformally flat manifolds
John Ryan
Here we will consider examples of conformally flat manifolds that are conformally equivalent to open subsets of the n-dimensional sphere. For such manifolds we shall introduce a Ca…
Introductory Clifford Analysis
John Ryan
This paper is an elaboration of an introductory talk given by the author at a workshop on Clifford algebras at Tennessee Technical University, in May 2002. We give an introduction…
Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms
Rolf Soeren Krausshar, John Ryan
In this paper we study Clifford and harmonic analysis on some conformal flat spin manifolds. In particular we treat manifolds that can be parametrized by where is a sim…
Plemelj Projection Operators over Domain Manifolds
John Ryan
Plemelj projection operators are introduced for spaces of square integrable functions defined over the boundaries of a class of compact real n-dimensional manifolds lying in C^n. T…