Provides basic ideas and results of distribution theory and its applications to Fourier analysis and partial differential equations Examples are provided to illustrate the concepts; exercises of various level of difficulty are given Important topics covered like basic properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds

Preface / Test Functions and Distributions / Convergence of Distributions / Differentiation of Distributions / Convolution of Distributions / Tempered Distributions and Fourier Transforms / Sobolev Spaces / Weak Solutions / Distributions on Locally Convex Spaces / Distributions on Manifolds / Bibliography / Index

Graduate students, Teachers and Research workers