Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels

E. H. Youssfi

E. H. Youssfi

Studia Mathematica, Tome 151 (2002), p. 161-186 / Harvested from The Polish Digital Mathematics Library

Résumé

We consider a large class of convex circular domains in $M_{m ₁, n ₁} (ℂ) \times . . . \times M_{m_{d}, n_{d}} (ℂ)$ which contains the oval domains and minimal balls. We compute their Bergman and Szegő kernels. Our approach relies on the analysis of some proper holomorphic liftings of our domains to some suitable manifolds.

Publié le : 2002-01-01

Zbl 1013.32003

EUDML-ID : urn:eudml:doc:284547

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     title = {Proper holomorphic liftings and new formulas for the Bergman and Szeg\H o kernels},
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     year = {2002},
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E. H. Youssfi. Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels. Studia Mathematica, Tome 151 (2002) pp. 161-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-2-5/