In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been established and amply developed. In this paper, we address the problem of establishing Cauchy integral formulae in the framework of Hermitian Clifford analysis in superspace. This allows us to obtain a successful extension of the classical Bochner-Martinelli formula to superspace by means of the corresponding projections on the space of spinor-valued superfunctions
In this thesis, the theory of supermanifolds and more specifically of Lie supergroups will play a ce...
The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theor...
In this paper, we obtain Cauchy-Kovalevskaya theorems for hypermonogenic superfunctions depending on...
In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been est...
Euclidean Clifford analysis is a higher dimensional function theory, refining harmonic analysis, cen...
summary:Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompei...
A survey of superanalysis with emphasis on superforms, superchains, superboundaries and integration ...
The main aim of this thesis is to study superspaces using methods from harmonic and Clifford analysi...
AbstractIn this paper extensions of the classical Fourier, fractional Fourier and Radon transforms t...
In this paper, the classical theory of spherical harmonics in Rm is extended to superspace using tec...
We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of th...
In this paper we first recall the proper algebraic framework, i.e. the radial algebra, needed to ext...
Distributions in superspace constitute a very useful tool for establishing an integration theory. In...
A thesis submitted in fulfillment of the requirements for the degree of Doctor of Science: Mathemati...
AbstractEuclidean Clifford analysis is a higher dimensional function theory offering a refinement of...
In this thesis, the theory of supermanifolds and more specifically of Lie supergroups will play a ce...
The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theor...
In this paper, we obtain Cauchy-Kovalevskaya theorems for hypermonogenic superfunctions depending on...
In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been est...
Euclidean Clifford analysis is a higher dimensional function theory, refining harmonic analysis, cen...
summary:Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompei...
A survey of superanalysis with emphasis on superforms, superchains, superboundaries and integration ...
The main aim of this thesis is to study superspaces using methods from harmonic and Clifford analysi...
AbstractIn this paper extensions of the classical Fourier, fractional Fourier and Radon transforms t...
In this paper, the classical theory of spherical harmonics in Rm is extended to superspace using tec...
We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of th...
In this paper we first recall the proper algebraic framework, i.e. the radial algebra, needed to ext...
Distributions in superspace constitute a very useful tool for establishing an integration theory. In...
A thesis submitted in fulfillment of the requirements for the degree of Doctor of Science: Mathemati...
AbstractEuclidean Clifford analysis is a higher dimensional function theory offering a refinement of...
In this thesis, the theory of supermanifolds and more specifically of Lie supergroups will play a ce...
The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theor...
In this paper, we obtain Cauchy-Kovalevskaya theorems for hypermonogenic superfunctions depending on...
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