دانلود کتاب Reproducing Kernels and their Applications

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Front Matter....Pages i-vii
Operator Theoretical Classification of Reproducing Kernel Hilbert Spaces....Pages 1-7
Holomorphic Factorization of Matrices of Polynomials....Pages 9-19
Bergman-Carleson Measures and Bloch Functions on Strongly Pseudoconvex Domains....Pages 21-31
The Role of the Ahlfors Mapping in the Theory of Kernel Functions in the Plane....Pages 33-42
Some Generalized Laplace Transformations....Pages 43-51
Asymptotic Behaviour of Reproducing Kernels, Berezin Quantization and Mean-Value Theorems....Pages 53-64
Hilbert Spaces of Eigenfunctions of the Laplacian....Pages 65-80
An Expansion Theorem for State Space of Unitary Linear System Whose Transfer Function is a Riemann Mapping Function....Pages 81-95
The Bergman Kernel and a Generalized Fourier-Borel Transform....Pages 97-108
The Bergman Kernel on Certain Decoupled Domains....Pages 109-124
A Sampling Theorem for solutions of the Dirichlet Problem for the Schrödinger Operator....Pages 125-131
Multi-power Legendre Series in C m ....Pages 133-140
An Essay on the Bergman Metric and Balanced Domains....Pages 141-148
Integral Transforms Involving Smooth Functions....Pages 149-163
Applications of the General Theory of Reproducing Kernels....Pages 165-188
A Survey of the Extended Interpolation....Pages 189-212
The Nehari problem for the weighted Szegő kernels....Pages 213-221
Fay’s Trisecant Formula and Hardy H 2 Reproducing Kernels....Pages 223-234
Back Matter....Pages 235-235