In this article the jump problem for monogenic functions (Clifford holomorphicity) on the
boundary of a Jordan domain in Euclidean spaces is investigated. We shall establish some …

Full article: Cauchy theorem for a surface integral in commutative algebras Skip to Main
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In the present paper we provide some conditions of a geometrical character for continuous
extendibility of the Clifford–Cauchy transform to the boundary of a domain in the Euclidean …

In this paper, we establish the generalized Cauchy theorems on the para-sphere and the
generalized Cauchy integral formulae on the strong para-sphere in Clifford analysis. As …

Cauchy Transform and Rectifiability in Clifford Analysis Page 1 Zeitschrift für Analysis und ihre
Anwendungen Journal for Analysis and its Applications Volume 24 (2005), No. 1, 167–178 …

Given a domain Ω in ℝ3 with rectifiable boundary, we consider main integral, and some
other, theorems for the theory of Laplacian (sometimes called solenoidal and irrotational, or …

In the year 1878 William Kingdon Clifford (1845-1879) introduced the algebras named after
him which may be regarded as a generalization of the complex numbers and Hamilton's …

In this paper we consider Jordan domains in real Euclidean spaces of higher dimension
which have fractal boundaries. The case of decomposing a Hölder continuous multivector …

For monogenic (continuous and differentiable in the sense of Gâteaux) functions given in
special real subspaces of an arbitrary finitedimensional commutative associative algebra …

In this article, we verify the boundedness of the Cauchy type integral operators under the
generalized Hölder norm in Clifford analysis, which are called HB theorems of the Cauchy …