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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Language: | en_US |
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2018
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Online Access: | http://etd.iisc.ernet.in/2005/3670 http://etd.iisc.ernet.in/abstracts/4540/G27320-Abs.pdf |