Distribution, Integral Transforms and Applications (Hardcover)

This book is an approachable introduction to the theory of distributions and integral transforms. The principle intention of the book is to emphasize the remarkable connections of distribution theory with the classical analysis and the theory of differential equations. First of all it covers the theory of the Lebesque integral as a fundamental tool in the proofs of many theorems. The theory develops from its beginning to the point where many fundamental theorems are proved. It gives practical hints on using the theory of distributions in cases where classical analysis is insufficient. The seven chapters of the book naturally connect general theory, examples and applications and the authors attempt to answer natural questions related to topics presented in the text.