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Generalized Functions on a Superspace

  • Andrei Khrennikov
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 470)

Abstract

Generalized functions were introduced by Dirac [29] in his quantome-chanical research in which the famous δ-function was systematically used. The fundamentals of the mathematical theory of generalized functions were laid by Sobolev ([131 (1936)]) and used to solve the Cauchy problem for hyperbolic equations. Schwartz ([69 (1950)] and [51]) gave a systematic exposition of the theory of generalized functions and indicated a number of its important applications.

Keywords

Generalize Function Cauchy Problem Fundamental Solution Heat Conduction Equation Operational Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Andrei Khrennikov
    • 1
    • 2
  1. 1.Department of Mathematics, Statistics and Computer SciencesUniversity of VäxjöVäxjöSweden
  2. 2.Department of MathematicsMoscow State University of Electronic EngineeringZelenogradRussia

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