On the dependence of the Bergman function on deformations of the Hartogs domain
Zbigniew Pasternak-Winiarski
Annales Polonici Mathematici, Tome 55 (1991), p. 287-300 / Harvested from The Polish Digital Mathematics Library
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We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262271 
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     title = {On the dependence of the Bergman function on deformations of the Hartogs domain},
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Zbigniew Pasternak-Winiarski. On the dependence of the Bergman function on deformations of the Hartogs domain. Annales Polonici Mathematici, Tome 55 (1991) pp. 287-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p287bwm/

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