The Green's Function, the Bergman Kernel and Quadrature Domains in Cn

In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly bounded pseudoconvex domain satisfying Bell’s Condition R and Ω⊂Cis a smoothly...

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Bibliographic Details
Main Author: Haridas, Pranav
Other Authors: Verma, Kaushal
Language:en_US
Published: 2018
Subjects:
Online Access:http://etd.iisc.ernet.in/2005/3670
http://etd.iisc.ernet.in/abstracts/4540/G27320-Abs.pdf