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New Trends in Analysis and Interdisciplinary Applications pp 207–214Cite as

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Plemelj Formula for Bergman Integral on Unit Ball in Hermitean Clifford Analysis

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Abstract

In this paper, we construct the Bergman kernel on the unit ball of \(\mathbb{R}^{2n}\) in the setting of Hermitean Clifford analysis, and then derive the Plemelj formula for the Bergman integral on the unit ball.

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Acknowledgements

This work was supported by Portuguese funds through the CIDMA-Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Fundação para a Ciência e a Tecnologia”), within project UID/MAT/ 0416/2013, postdoctoral grant from FCT (Portugal) under Grant No. SFRH/BPD/74581/2010, and National Natural Science Foundation of China (11601525), Natural Science Foundation of Hunan Province (2017JJ3406).

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Authors and Affiliations

  1. CIDMA, Department of Mathematics, University of Aveiro, P-3810-193, Aveiro, Portugal

    Min Ku

  2. School of Mathematics and Statistics, Central South University, Changsha, 410083, People’s Republic of China

    Fuli He

Authors
  1. Min Ku
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  2. Fuli He
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Corresponding author

Correspondence to Fuli He .

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Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Ku, M., He, F. (2017). Plemelj Formula for Bergman Integral on Unit Ball in Hermitean Clifford Analysis. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_26

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