Generalized Functions on a Superspace
Generalized functions were introduced by Dirac  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 ) gave a systematic exposition of the theory of generalized functions and indicated a number of its important applications.
KeywordsGeneralize Function Cauchy Problem Fundamental Solution Heat Conduction Equation Operational Calculus
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