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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Saitoh, Saburou (Autor), Sawano, Yoshihiro (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Developments in Mathematics, 44
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.