Overview

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 scientists interested in the applications.

Full Product Details

Author:   S. Saitoh ,  Daniel Alpay ,  Joseph A. Ball ,  Takeo Ohsawa
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1999
Volume:   3
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781441948090

ISBN 10:   1441948090
Pages:   235
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Preface. 1. Operator theoretical classification of reproducing kernal 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. Brüning. 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 Schrödinger operator; A. Kheyfits. 12. Multi-power Legendre Series in Cm; P.A. McCoy. 13. An essay on the Bergman metric and balanced domains; T. Ohsawa. 14. Integral transforms involving smooth functions; S. Saitoh, 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 H2 reproducing kernels; A.Yamada.

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