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Reproducing kernels and their applications /

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This work is the first contributed volume on reproducing kernels and their applications. It is made up of chapters based on presentations at the University of Delaware ISAAC Conference as well as invited contributions by leading experts. Audience: Researchers working in the field as well as scientis...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Saitoh, Saburou, 1944- (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer-Science+Business Media, B.V., [1999]
Series:International Society for Analysis, Applications, and Computation (Series) ; volume 3.
Subjects:
Kernel functions > Congresses.
Kernel functions.
Electronic books.
Conference proceedings.
Online Access:Connect to the full text of this electronic book
Table of 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.