Reproducing Kernels and their Applications

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.