Titlebook: Reproducing Kernels and their Applications; Saburou Saitoh,Daniel Alpay,Takeo Ohsawa Book 1999 Springer Science+Business Media Dordrecht 1

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macabre

The Bergman Kernel on Certain Decoupled Domains,ng at most . .-times real blowing-ups. Next in order to investigate the singularities of the Bergman kernel off the diagonal, we give an integral representation by using countably many functions whose singularities are understood directly. We also give an analogous result in the case of the Szegö kernel.

Ceramic

The Role of the Ahlfors Mapping in the Theory of Kernel Functions in the Plane,nd the Bergman and Szegö kernels of the domain. The results show that the Ahlfors mapping plays a role in the multiply connected setting very similar to that of the Riemann mapping in the simply connected case. We also describe how the Ahlfors map is connected to the Poisson and other kernels.

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The Bergman Kernel and a Generalized Fourier-Borel Transform,gman kernel of a certain Hilbert space. In the classical setting the exponential functions provide the isomorphism via Fourier-Borel transform. In our case we use the Bergman kernel instead of the exponential functions in order to establish the isomorphism.

Constituent

Applications of the General Theory of Reproducing Kernels,f the general theory of reproducing kernels:.and.see the previous research note [[Sal]], which was also dealt with the history of reproducing kernels and the classical reproducing kernels in one complex analysis. {The publication of this survey article was permitted by Addison Wesley Longman Ltd in connection with the original book [[Sa 2]].}

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CAND

International Society for Analysis, Applications and Computationhttp://image.papertrans.cn/r/image/827553.jpg

NAV

https://doi.org/10.1007/978-1-4757-2987-0Factor; Hilbert space; Pseudoconvexity; Volume; behavior; field; form; functions; interpolation; kernel; opera

PHAG

978-1-4419-4809-0Springer Science+Business Media Dordrecht 1999

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