Generalized Functions on a Superspace

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


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.


Generalize Function Cauchy Problem Fundamental Solution Heat Conduction Equation Operational Calculus 
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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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