Theory of Reproducing Kernels and Applications

This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of repr...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Saitoh, Saburou (Author), Sawano, Yoshihiro (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Developments in Mathematics, 44
Subjects:
Functional analysis.
Fourier analysis.
Functions of complex variables.
Differential equations.
Functional Analysis.
Fourier Analysis.
Functions of a Complex Variable.
Differential Equations.
Online Access:Texto Completo
Table of Contents:
  • Definitions and examples of reproducing kernel Hilbert spaces
  • Fundamental properties of RKHS
  • Moore Penrose generalized inverses and Tikhonov regularization
  • Real inversion formulas of the Laplace transform
  • Applications to ordinary differential equations
  • Applications to partial differential equations
  • Applications to integral equations
  • Special topics on reproducing kernels
  • Appendices
  • Index.

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