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    Article

    Cauchy Integral Formula on the Distinguished Boundary with Values in Complex Universal Clifford Algebra

    As an integral representation for holomorphic functions, Cauchy integral formula plays a significant role in the function theory of one complex variable and several complex variables. In this paper, using the ...

    Na Xu, Zunfeng Li, Heju Yang in Advances in Applied Clifford Algebras (2021)

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    Article

    Fractional Clifford–Fourier Transform and its Application

    In this paper, we consider a version of the fractional Clifford–Fourier transform (FrCFT) and study its several properties and applications to partial differential equations in Clifford analysis. First, we giv...

    Haipan Shi, Heju Yang, Zunfeng Li, Yuying Qiao in Advances in Applied Clifford Algebras (2020)

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    Article

    Two-Sided Fourier Transform in Clifford Analysis and Its Application

    In this paper, we first define a two-sided Clifford Fourier transform(CFT) and its inverse transformation on \(L^{1}\) L 1 space. Then we study the differential of the two-sided CFT, the k-th power of $$F ...

    Haipan Shi, Heju Yang, Zunfeng Li, Yuying Qiao in Advances in Applied Clifford Algebras (2020)

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    Article

    A New Cauchy Integral Formula in the Complex Clifford Analysis

    In this paper, we construct an analogue of Bochner–Martinelli kernel based on theory of functions of several complex variables in complex Clifford analysis, which has generalized complex differential forms wit...

    Zunfeng Li, Heju Yang, Yuying Qiao in Advances in Applied Clifford Algebras (2018)