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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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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DOI: https://doi.org/10.1007/978-3-319-48812-7_26
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Online ISBN: 978-3-319-48812-7
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