ENGLIŠ, Miroslav a Hao XU. Higher Laplace-Beltrami Operators on Bounded Symmetric Domains. Acta Mathematica Sinica, English Series. Heidelberg: Springer Verlag, 2018, roč. 34, č. 8, s. 1297-1312. ISSN 1439-8516. Dostupné z: https://dx.doi.org/10.1007/s10114-018-8162-y. |
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@article{30222, author = {Engliš, Miroslav and Xu, Hao}, article_location = {Heidelberg}, article_number = {8}, doi = {http://dx.doi.org/10.1007/s10114-018-8162-y}, keywords = {Higher Laplace-Beltrami operators; bounded symmetric domains; Bergman Kernel}, language = {eng}, issn = {1439-8516}, journal = {Acta Mathematica Sinica, English Series}, title = {Higher Laplace-Beltrami Operators on Bounded Symmetric Domains}, url = {https://link.springer.com/article/10.1007%2Fs10114-018-8162-y}, volume = {34}, year = {2018} }
TY - JOUR ID - 30222 AU - Engliš, Miroslav - Xu, Hao PY - 2018 TI - Higher Laplace-Beltrami Operators on Bounded Symmetric Domains JF - Acta Mathematica Sinica, English Series VL - 34 IS - 8 SP - 1297-1312 EP - 1297-1312 PB - Springer Verlag SN - 14398516 KW - Higher Laplace-Beltrami operators KW - bounded symmetric domains KW - Bergman Kernel UR - https://link.springer.com/article/10.1007%2Fs10114-018-8162-y L2 - https://link.springer.com/article/10.1007%2Fs10114-018-8162-y N2 - It was conjectured by the first author and Peetre that the higher Laplace-Beltrami operators generate the whole ring of invariant operators on bounded symmetric domains. We give a proof of the conjecture for domains of rank 6 by using a graph manipulation of Kahler curvature tensor. We also compute higher order terms in the asymptotic expansions of the Bergman kernels and the Berezin transform on bounded symmetric domain. ER -
ENGLIŠ, Miroslav a Hao XU. Higher Laplace-Beltrami Operators on Bounded Symmetric Domains. \textit{Acta Mathematica Sinica, English Series}. Heidelberg: Springer Verlag, 2018, roč.~34, č.~8, s.~1297-1312. ISSN~1439-8516. Dostupné z: https://dx.doi.org/10.1007/s10114-018-8162-y.
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