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Reproducing kernels and their applications

Author: Saburou Saitoh
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1999.
Series: International Society for Analysis, Applications, and Computation (Series), v. 3.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997. Rather than  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Saburou Saitoh
ISBN: 0792356187 9780792356189
OCLC Number: 40675089
Description: 234 pages ; 25 cm.
Contents: 1. Operator theoretical classification of reproducing kernel Hilbert spaces / S. Akashi --
2. Holomorphic factorization of matrices of polynomials / J.P. D'Angelo --
3. Bergman-Carleson measures and Bloch functions on strongly pseudoconvex domains / H. Arai --
4. The role of the Ahlfors mapping in the theory of kernel functions in the plane / S.R. Bell --
5. Some generalized Laplace transformations / E.A.K. Bruning --
6. Asymptotic behaviour of reproducing kernels, Berezin quantization and mean-value theorems / M. Englis --
7. Hilbert spaces of eigenfunctions of the Laplacian / K. Fujita --
8. An expansion theorem for state space of unitary linear system whose transfer function is a Riemann mapping function / S. Ghosechowdhury --
9. The Bergman kernel and a generalized Fourier-Borel transform / F. Haslinger --
10. The Bergman kernel on certain decoupled domains / J. Kamimoto --
11. A sampling theorem for solutions of the Dirichlet problem for the Schrodinger operator / A. Kheyfits --
12. Multi-power Legendre series in C[superscript m] / P.A. McCoy --
13. An essay on the Bergman metric and balanced domains / T. Ohsawa --
14. Integral transforms involving smooth functions / S. Saitoh and M. Yamamoto --
15. Applications of the general theory of reproducing kernels / S. Saitoh --
16. A survey of the extended interpolation / S. Takahashi --
17. The Nehari problem for the weighted Szego kernels / M. Uehara --
18. Fay's trisecant formula and Hardy H[superscript 2] reproducing kernels / A. Yamada.
Series Title: International Society for Analysis, Applications, and Computation (Series), v. 3.
Responsibility: edited by Saburou Saitoh [and others].
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