Analytic continuation of weighted Bergman kernels

Result code in IS VaVaI

RIV/47813059:19610/10:#0000279 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Analytic continuation of weighted Bergman kernels

Original language description

We show that the Bergman kernel K-alpha(x, y) on a smoothly bounded strictly pseudoconvex domain with respect to the weight rho(alpha), where -rho is a defining function and alpha > -1, extends meromorphically in alpha to the entire complex plane. This is somewhat reminiscent of scattering poles or resonances in scattering theory. With a small change, the assertion remains valid also for functions rho of slightly more general type.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

IAA100190802: Function theory and operator theory in Bergman spaces

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal de Mathématiques Pures et Appliquées

ISSN

0021-7824

e-ISSN

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Volume of the periodical

94

Issue of the periodical within the volume

6

Country of publishing house

FR - FRANCE

Number of pages

29

Pages from-to

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UT code for WoS article

000285429500004

EID of the result in the Scopus database

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