Hyperanalytic riemann boundary value problems on rectifiable closed curves

Abstract

We extend the results ot [3] for the Riemann boundary value problem of a hyperanalytic functions to the case of data given on rectifiable closed curves. An explicit form of the general solution is constructed. The necessary and sufficient conditions for solvability of the boundary value problem, and the relations between the index and the number of linear independent solutions are given.

AMS No:

• 35A20
• Hyperanalytic function
• rectifiable curve
• generating solution
• canonical solution

^∗Supported in part by the N.S.F. by grant INT-9011085.

^∗Supported in part by the N.S.F. by grant INT-9011085.

Notes

^∗Supported in part by the N.S.F. by grant INT-9011085.