International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2821-2840
doi:10.1155/IJMMS.2005.2821
Riemann boundary value problem for hyperanalytic functions
Ricardo Abreu Blaya
, Juan Bory Reyes
and Dixan Peña Peña
Faculty of Mathematics and Informatics, University of Holguín, Holguín 80100, Cuba
Abstract
We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Douglis sense is established.