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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Duistermaat, J.J (Συγγραφέας), Kolk, J.A.C (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston : Birkhäuser Boston, 2010.
Έκδοση:1.
Σειρά:Cornerstones
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.