Abstract
We give a description of the boundary singularity of the Szegö kernel of M-harmonic functions, i.e. functions annihilated by the invariant Laplacian, on the unit ball of the complex n-space, in terms of the Gauss hypergeometric functions.
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Acknowledgements
Research supported by GAČR grant no. 21-27941S, RVO funding for IČO 47813059 and RVO funding for IČO 67985840.
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Blaschke, P., Engliš, M. (2024). M-harmonic Szegö Kernel on the Ball. In: Hirachi, K., Ohsawa, T., Takayama, S., Kamimoto, J. (eds) The Bergman Kernel and Related Topics. HSSCV 2022. Springer Proceedings in Mathematics & Statistics, vol 447. Springer, Singapore. https://doi.org/10.1007/978-981-99-9506-6_2
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DOI: https://doi.org/10.1007/978-981-99-9506-6_2
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