Harmonic Analysis on the Real Line : A Path in the Theory

This book sketches a path for newcomers into the theory of harmonic analysis on the real line.

It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic.

Many of these results are also a necessary basis for multivariate extensions.

An extensive bibliography, as well as hints to open problems are included.

The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.