# RIQUIER AND DIRICHLET BOUNDARY VALUE PROBLEMS FOR SLICE DIRAC OPERATORS

• Yuan, Hongfen (School of Mathematics and Physics Hebei University of Engineering)
• Accepted : 2017.07.03
• Published : 2018.01.31

#### Abstract

In recent years, the study of slice Dirac operators has attracted more and more attention in the literature. In this paper, Almansitype decompositions for null solutions to the iterated slice Dirac operator and the generalized slice Dirac operator are obtained without a star-like domain centered at the origin. As applications, we investigate Riquier type problems and Dirichlet type problems in the theory of slice monogenic functions.

#### Acknowledgement

Supported by : National Natural Science Foundation of China, Science Foundation of Hebei Province, Handan Municipal Science and Technology Bureau, Hebei University of Engineering

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