Reproducing Kernels and Their Applications

by Saitoh, Saburou; Alpay, Daniel; Ball, Joseph A.; Ohsawa, Takeo

• ISBN13: 9780792356189
• ISBN10: 0792356187
• Format: Hardcover
• Copyright: 1999-05-01
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Preface
Operator theoretical classification of reproducing kernel Hilbert spaces	1	(8)
S. Akashi
Holomorphic factorization of matrices of polynomials	9	(12)
J.P.D'Angelo
Bergman-Carleson measures and Bloch functions on strongly pseudoconvex domains	21	(12)
H.Arai
The role of the Ahlfors mapping in the theory of kernel fuctions in the plane	33	(10)
S.R.Bell
Some generalized Laplace transformations	43	(10)
E.A.K.Bruning
Asymptotic behaviour of reproducing kernels, Berezin quantization and mean-value theorems	53	(12)
M.Englis
Hilbert spaces of eigenfunctions of the Laplacian	65	(16)
K.Fujita
An expansion theorem for state space of unitary linear system whose transfer function is a Riemann mapping function	81	(16)
S.Ghosechowdhury
The Bergman kernel and a generalized Fourier-Borel transform	97	(12)
F.Haslinger
The Bergman kernel on certain decoupled domains	109	(16)
J.Kamimoto
A sampling theorem for solutions of the Dirichlet problem for the Schrodinger operator	125	(8)
A.Kheyfits
Multi-power Legendre series in Cm	133	(8)
P.A.McCoy
An essay on the Bergman metric and balanced domains	141	(8)
T.Ohsawa
Integral transforms involving smooth functions	149	(16)
S.Saitoh
M.Yamamoto
Applications of the general theory of reproducing kernels	165	(24)
S.Saitoh
A survey of the extended interpolation	189	(24)
S.Takahashi
The Nehari problem for the weighted Szego kernels	213	(10)
M.Uehara
Fay's trisecant formula and Hardy H2 reproducing kernels	223
A.Yamada