This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. It covers Cauchy and Goursat problems, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. 1963 edition Unabridged republication of the New Jersey, 1963 edition.
Problem Book in the Theory of Functions by Konrad Knopp Single-volume edition of renowned collection of problems. Part 1 contains more than 300 problems dealing with fundamental concepts; part 2 has over 230 problems in advanced theory. Includes hints and full solutions to all problems.
The Radon Transform and Some of Its Applications by Stanley R. Deans Of value to mathematicians, physicists, and engineers, this excellent introduction covers both theory and applications, including a rich array of examples and literature. Revised and updated by the author. 1993 edition.
Distributions: An Outline by Jean-Paul Marchand Rigorous and concise, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki and surveys both functional and algebraic theories of distribution. 1962 edition.