Higher Laplace–Beltrami operators on bounded symmetric domains
Result description
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 Kähler curvature tensor. We also compute higher order terms in the asymptotic expansions of the Bergman kernels and the Berezin transform on bounded symmetric domain.
Keywords
Higher Laplace–Beltrami operatorsbounded symmetric domainsBergman Kernel
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/47813059:19610/18:A0000023
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Higher Laplace–Beltrami operators on bounded symmetric domains
Original language description
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 Kähler curvature tensor. We also compute higher order terms in the asymptotic expansions of the Bergman kernels and the Berezin transform on bounded symmetric domain.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Mathematica Sinica-English Series
ISSN
1439-8516
e-ISSN
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Volume of the periodical
34
Issue of the periodical within the volume
8
Country of publishing house
DE - GERMANY
Number of pages
16
Pages from-to
1297-1312
UT code for WoS article
000441727900009
EID of the result in the Scopus database
2-s2.0-85051601459
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2018