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| In this article, the authors survey and review the recent studies of boundary value problems for regular functions in Clifford analysis, which include theoretical foundations and useful methods. These theoretical bases consist of the generalized Cauchy theorem and the generalized Cauchy integral formula, the Painlev'{e} type theorem and the boundary behaviors of the Cauchy type integrals, as well as various integral representations. Certain boundary value problems and singular integral equations in the Clifford algebra setting are introduced. |
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| Keywords:Function Theory, Cauchy--Goursat theorem, Generalized Cauchy integral formula, Painleve type theorem, Boundary behavior, Riemann boundary value problem, Dirichlet boundary value problem, Singular integral equation. |
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