THEORY OF DISTRIBUTIONS AND THEIR APPLICATIONS

Course Description

Distributions, also known generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. Distributions are widely used in the theory of partial differential equations, in physics and engineering where many problems naturally lead to differential equations whose solutions or initial conditions are singular, such as the Dirac delta function.

Required Text

Robert S Strichartz, A Guide To Distribution Theory And Fourier Transforms