A Boundary Value Problem for Hermitian Monogenic Functions

Abstract

Hermitian Clifford analysis deals with the simultaneous null solutions of the orthogonal Dirac operators ∂x and its twisted counterpart ∂x|, introduced below. For a thorough treatment of this higher-dimensional function theory, we refer the reader to, for example, 1–5 . Let e1, . . . , e2n be an orthonormal basis of the Euclidean space R2n. Consider the complex Clifford algebra C2n constructed over R2n. The noncommutative multiplication in C2n is governed by e2 j −1, j 1, . . . , 2n, ejek ekej 0, 1 ≤ j / k ≤ 2n. 1.1

Cite this paper

@inproceedings{Blaya2008ABV, title={A Boundary Value Problem for Hermitian Monogenic Functions}, author={Ricardo Abreu Blaya and Juan Bory Reyes and Dixan Pe{\~n}a Pe{\~n}a and Frank Sommen and Patrick J. Rabier}, year={2008} }