13 citations · 42 across the 13 of their papers we have counts for
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The Cauchy Integral Formula in Hermitian, Quaternionic and osp(4|2) Clifford Analysis
Fred Brackx, Hennie De Schepper, Roman Lavicka +1
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral Formula has proven to be a corner stone of Clifford analysis, the monogenic functio…
Fischer Decomposition for osp(4|2)-monogenics in Quaternion Clifford Analysis
Fred Brackx, Hennie De Schepper, David Eelbode +2
Spaces of spinor-valued homogeneous polynomials, and in particular spaces of spinor-valued spherical harmonics, are decomposed in terms of irreducible representations of the symple…
Fundaments of Quaternionic Clifford Analysis II: Splitting of Equations
Fred Brackx, Hennie De Schepper, David Eelbode +2
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and generalizes to higher dimension…
Embedding Factors for Branching in Hermitian Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the generalized Jacobi p…
Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimension…
The Cauchy-Kovalevskaya Extension Theorem in Hermitean Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
Hermitean Clifford analysis is a higher dimensional function theory centered around the simultaneous null solutions, called Hermitean monogenic functions, of two Hermitean conjugat…