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

• Autorzy: E. H. Youssfi
• Języki publikacji: EN

Abstrakty

EN

We consider a large class of convex circular domains in $M_{m₁,n₁}(ℂ) × ... × M_{m_{d},n_{d}}(ℂ)$ 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 152
• Numer: 2
• Strony: 161-186

Daty

wydano

2002

Twórcy

autor

E. H. Youssfi

• LATP, U.M.R. C.N.R.S. 6632, CMI, Université de Provence, 39 Rue F. Joliot-Curie, 13453 Marseille Cedex 13, France

Identyfikatory

DOI

10.4064/sm152-2-5