Distributions Theory and Applications /

This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quan...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Duistermaat, J.J (Autor), Kolk, Johan A.C (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Cornerstones,
Temas:
Functional analysis.
Approximation theory.
Mathematics.
Differential equations.
Fourier analysis.
Functional Analysis.
Approximations and Expansions.
Applications of Mathematics.
Differential Equations.
Fourier Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Motivation
  • Test Functions
  • Distributions
  • Differentiation of Distributions
  • Convergence of Distributions
  • Taylor Expansion in Several Variables
  • Localization
  • Distributions with Compact Support
  • Multiplication by Functions
  • Transposition: Pullback and Pushforward
  • Convolution of Distributions
  • Fundamental Solutions
  • Fractional Integration and Differentiation
  • Fourier Transform
  • Distribution Kernels
  • Fourier Series
  • Fundamental Solutions and Fourier Transform
  • Supports and Fourier Transform
  • Sobolev Spaces
  • Appendix: Integration
  • Solutions to Selected Problems.

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