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

@article{E2002,
abstract = {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.},
author = {E. H. Youssfi},
journal = {Studia Mathematica},
keywords = {proper holomorphic lifting; convex circular domain; Bergman kernel; Szegő kernel},
language = {eng},
number = {2},
pages = {161-186},
title = {Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels},
url = {http://eudml.org/doc/284547},
volume = {152},
year = {2002},
}

TY - JOUR
AU - E. H. Youssfi
TI - Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels
JO - Studia Mathematica
PY - 2002
VL - 152
IS - 2
SP - 161
EP - 186
AB - 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.
LA - eng
KW - proper holomorphic lifting; convex circular domain; Bergman kernel; Szegő kernel
UR - http://eudml.org/doc/284547
ER -