Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in (Formula presented.)

Abstract:

In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (Formula presented.) for quaternionic Hermitian monogenic functions, using a circulant matrix approach. To this end we introduce the matrix Cauchy and Hilbert transforms on the fractal boundary of a bounded domain and prove a matricial Cauchy formula.

Año de publicación:

2015

Keywords:

• Boundary value problems
• Quaternionic Hermitian Clifford analysis
• Fractal surfaces

Fuente:

scopus