Discrete Analogues in Harmonic Analysis

Discrete Analogues in Harmonic Analysis: Bourgain, Stein, and Beyond
English | 2022 | ISBN: 1470468573 | 592 Pages | PDF (True) | 4 MB
This timely book explores certain modern topics and connections at the interface of harmonic analysis, ergodic theory, number theory, and additive combinatorics. The main ideas were pioneered by Bourgain and Stein, motivated by questions involving averages over polynomial sequences, but the subject has grown significantly over the last 30 years, through the work of many researchers, and has steadily become one of the most dynamic areas of modern harmonic analysis. The author has succeeded admirably in choosing and presenting a large number of ideas in a mostly self-contained and exciting monograph that reflects his interesting personal perspective and expertise into these topics." ― Alexandru Ionescu, Princeton University