A Forelli-Rudin Construction and Asymptotics of Weighted Bergman Kernels.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F00%3A05010024" target="_blank" >RIV/67985840:_____/00:05010024 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Forelli-Rudin Construction and Asymptotics of Weighted Bergman Kernels.
Original language description
For a bounded pseudoconvex domain in the complex $n$-space with a smooth strictly plurisubharmonic defining function $f$, we prove that the Bergman kernels with respect to the weights $f^k$ have a certain asymptotic expansion as $k$ tends to infinity. Ifthe domain is strongly pseudoconvex with real-analytic boundary and $f$ is real-analytic, an analogous expansion is also obtained for the Berezin transform and applications are given to Berezin quantization.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1019701" target="_blank" >IAA1019701: Function theory and operator theory in the Bergman space</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Functional Analysis
ISSN
0022-1236
e-ISSN
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Volume of the periodical
177
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
257-281
UT code for WoS article
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EID of the result in the Scopus database
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