Jump problem and removable singularities for monogenic functions

Abstract:

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 criteria that imply the uniqueness of the solution in terms of a natural analogue of removable singularities in the plane to R n+1 (n ≥ 2). Sufficient conditions to extend monogenically continuous Clifford algebra valued functions across a hypersurface are proved. © 2007 Mathematica Josephina, Inc.

Año de publicación:

2007

Keywords:

• removable singularities
• Clifford analysis
• Canchy transform

Fuente:

scopus