In this new edition of An Introduction to Pseudo Differential Operators, the style and scope of the original book are retained. A chapter on the interchange of order of differentiation and integration is added at the beginning to make the book more self-contained, and a chapter on weak solutions of pseudo-differential equations is added at the end to enhance the value of the book as a work on partial differential equations. Several chapters are provided with additional exercises. The bibliography is slightly expanded and an index is added.

Presenting the basic notions and techniques of Fourier analysis in discrete settings, this book opens up what is a key area of mathematics research to a much wider readership and covers the finite Fourier transform as well as Hilbert spaces and Fourier series.