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  1. No Access

    Article

    Cauchy type integrals and a boundary value problem in a complex Clifford analysis

    Clifford analysis is an important branch of modern analysis; it has a very important theoretical significance and application value, and its conclusions can be applied to the Maxwell equation, Yang-Mill field ...

    Nanbin Cao, Zunfeng Li, Heju Yang, Yuying Qiao in Acta Mathematica Scientia (2024)

  2. No Access

    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)

  3. Article

    Open Access

    Two-sided fractional quaternion Fourier transform and its application

    In this paper, we introduce the two-sided fractional quaternion Fourier transform (FrQFT) and give some properties of it. The main results of this paper are divided into three parts. Firstly we give a definiti...

    Zunfeng Li, Haipan Shi, Yuying Qiao in Journal of Inequalities and Applications (2021)

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  4. No Access

    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)

  5. No Access

    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)

  6. No Access

    Article

    Facile preparation of macro-mesoporous zirconium titanate monoliths via a sol–gel reaction accompanied by phase separation

    Macro-mesoporous zirconium titanate monoliths have been successfully prepared via a sol–gel process accompanied by phase separation, with poly(ethylene oxide) (PEO) as a phase separation inducer and N-methylforma...

    Mingliang Sun, Tianbo Zhao, Zhaofei Ma, Zunfeng Li in Journal of Materials Research (2019)

  7. Article

    Open Access

    Some properties of a T operator with B-M kernel in the complex Clifford analysis

    Teodorescu operator, or T-operator, plays an important role in Vekua equation systems and the generalized analytic function theory. It is a generalized solution to the nonhomogeneous Dirac equation. The proper...

    Zunfeng Li, Yuying Qiao, Nanbin Cao in Journal of Inequalities and Applications (2018)

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  8. No Access

    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)