M-harmonic Szegö Kernel on the ball

0585522 - MÚ 2025 RIV SG eng C - Conference Paper (international conference)
Blaschke, P. - Engliš, Miroslav
M-harmonic Szegö Kernel on the ball.
The Bergman Kernel and Related Topics. Singapore: Springer, 2024 - (Hirachi, K.; Ohsawa, T.; Takayama, S.; Kamimoto, J.), s. 105-120. Springer Proceedings in Mathematics & Statistics, 447. ISBN 978-981-99-9505-9. ISSN 2194-1009. E-ISSN 2194-1017.
[3rd Hayama Symposium on Complex Analysis of Several Variables. Tokyo (JP), 23.07.2022-28.07.2022]
Institutional support: RVO:67985840
Keywords : hypergeometric functions * invariant Laplacian * M-harmonic function * Szegö kernel
OECD category: Pure mathematics
https://doi.org/10.1007/978-981-99-9506-6_2

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.
Permanent Link: https://hdl.handle.net/11104/0353204