Titlebook: Reproducing Kernels and their Applications; Saburou Saitoh,Daniel Alpay,Takeo Ohsawa Book 1999 Springer Science+Business Media Dordrecht 1

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Operator Theoretical Classification of Reproducing Kernel Hilbert Spaces,The homeomorphism problems of subspaces with norms in terms of the ranges of the closed unit ball under compact positive operators are examined. These results will be applied to the operator theoretical classification of reproducing kernel Hilbert spaces.

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Bergman-Carleson Measures and Bloch Functions on Strongly Pseudoconvex Domains,In their paper [4], Choa, Kim and Park proved the following characterization of Bloch functions on the unit ball . . in . ..

切割

Hilbert Spaces of Eigenfunctions of the Laplacian,In this paper, we introduce Hilbert spaces of eigenfunctions of the Laplacian with a reproducing kernel. They appear as an image under the Fourier transformation of a Hilbert space of holomorphic functions on the complex sphere. Related topics are in [2], [3], [4] and [5]..The author would like to thank the referee for his useful comments.

paradigm

,A Sampling Theorem for solutions of the Dirichlet Problem for the Schrödinger Operator,A sampling series is derived for solutions of the Dirichlet problem in the half-space for the stationary Schrödinger operator

Femine

Multi-power Legendre Series in ,, ,Nehari’s theorem links the singularities of Legendre series in C.. with those of associated Taylor’s series in . .Recently, the theory was generalized to products of . Legendre polynomials in . .. This paper continues the development to series of products of powers of Legendre polynomials in . ..

ABYSS

Integral Transforms Involving Smooth Functions,We present a general method for obtaining isometrical identities and inversion formulas for integral transforms involving smooth functions. We illustrate our method using Fourier transforms with weights as well as for Weierstrass, Laplace, and Mellin transforms.

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