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| 1 | The Teodorescu Operator in Clifford Analysis显示文摘Euclidean Clifford analysis is a higher dimensional function theory centred around monogenic functions, i.e., null solutions to a first order vector valued rotation in-variant differential operator called the Dirac operator. More recently, Hermitian Clifford analysis has emerged as a new branch, offering yet a refinement of the Euclidean case; it focuses on the simultaneous null solutions, called Hermitian monogenic functions, to two Hermitian Dirac operators _z and _(zt) which are invariant under the action of the unitary group. In Euclidean Clifford analysis, the Teodorescu operator is the right inverse of the Dirac operator . In this paper, Teodorescu operators for the Hermitian Dirac operators _z and _(zt) are constructed. Moreover, the structure of the Euclidean and Hermitian Teodor-escu operators is revealed by analyzing the more subtle behaviour of their components. Finally, the obtained inversion relations are still refined for the differential operators is-suing from the Euclidean and Hermitian Dirac operators by splitting the Clifford algebra product into its dot and wedge parts. Their relationship with several complex variables theory is discussed. | F.BRACKX H.De SCHEPPER M.E. LUNA-ELIZARRARS M.SHAPIRO | 2012 | Chinese Annals of Mathematics,Series B2012，33，4： | 3 |
| 2 | Multi-vector Spherical Monogenics,Spherical Means and Distributions in Clifford Analysis显示文摘新高度维的分布被 Brackx, Delanghe 和 Somnien 在以前的报纸在框架 ofClifford 分析介绍了。用球形的坐标的那些分布 wered enned,“有限部分”真实的线上的分发 Fp x_+~ μ和包含珍视向量的球形的 monogenics 的概括球形的工具。在这篇论文,我们做第二归纳,导致分布的新家庭,基于包含 multi-vector-valued 的概括球形的工具球形单基因。由于我们在使纸独立的尝试,同时,它提供发现声发的结果的概述。 | FredBRACKX BramDeKNOCK HennieDeSCHEPPER | 2005 | Acta Mathematica Sinica,English Series2005，21，5： | 2 |
| 3 | On the Fourier Spectra of Distributions in Clifford Analysis显示文摘在由 Brackx 的最近的报纸, Delanghe;Sommen,一些基本更高维的分布在克利福德分析的框架被重新考虑,最后在欧几里德几何学的空格导致新分布的四个宽广的类的介绍。在当前的纸,我们继续这些分布的深入的学习,更明确地他们在频率空间的行为的学习,泛音分析的因此延长的古典结果。 | Fred BRACKX Bram De KNOCK Hennie De SCHEPPER | 2006 | Chinese Annals of Mathematics,Series B2006，27，5： | 1 |
| 4 | HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS显示文摘Around the central theme of 'square root' of the Laplace operator it is shown that the classical Riesz potentials of the first and of the second kind allow for an explicit expression of so-called Hilbert-Dirac convolution operators involving natural and complex powers of the Dirac operator. | F.BRACKX H.DE SCHEPPER | 2005 | Chinese Annals of Mathematics,Series B2005，26，1： | 1 |
| 5 | 四元数分析中几类广义函数的性质显示文摘研究了四元数分析中柯西核函数,及其引出的几类广义函数,得到了这些广义函数偏导数的表达式。作为应用,还很容易的由此推导出了T算子的几种偏导数。 | 鄢盛勇 | 2018 | 成都师范学院学报2018，34，9： | 0 |
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