Boundary Value Problems
Volume 2008 (2008), Article ID 385874, 7 pages
doi:10.1155/2008/385874

A boundary value problem for Hermitian monogenic functions

Ricardo Abreu Blaya1 , Juan Bory Reyes2 , Dixan Peña Peña3 and Frank Sommen3

1Facultad de Informática y Matemática, Universidad de Holguín, Holguín 80100, Cuba
 2Departamento de Matemática, Universidad de Oriente, Santiago de Cuba 90500, Cuba
 3Department of Mathematical Analysis, Ghent University, Galglaan 2, Gent 9000 , Belgium

Abstract

We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in ℝm, m=2n. Necessary and sufficient conditions for the solvability of this problem are obtained.