Geodesic
Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels
E. H. Youssfi1
1LATP U.M.R. C.N.R.S. 6632, CMI Université de Provence 39 Rue F. Joliot-Curie 13453 Marseille Cedex 13, France
Studia Mathematica, Tome 152 (2002) no. 2, pp. 161-186
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider a large class of convex circular domains in $M_{m_{1}, n_{1}}({\mathbb C})\times \dots\times M_{m_{d}, n_{d}}({\mathbb C})$ which contains the oval domains and minimal balls. We compute their Bergman and Szeg{ő} kernels. Our approach relies on the analysis of some proper holomorphic liftings of our domains to some suitable manifolds.
DOI : 10.4064/sm152-2-5
Keywords: consider large class convex circular domains mathbb times dots times mathbb which contains oval domains minimal balls compute their bergman szeg kernels approach relies analysis proper holomorphic liftings domains suitable manifolds

E. H. Youssfi  1

1 LATP U.M.R. C.N.R.S. 6632, CMI Université de Provence 39 Rue F. Joliot-Curie 13453 Marseille Cedex 13, France 
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E. H. Youssfi. Proper holomorphic liftings and new formulas
  for the Bergman and Szegő  kernels. Studia Mathematica, Tome 152 (2002) no. 2, pp. 161-186. doi: 10.4064/sm152-2-5

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