Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform

Tullio Ceccherini-Silberstein offers a comprehensive exploration of discrete harmonic analysis, illuminating its connections to number theory and the Fourier transform. Readers will discover how the principles of harmonic analysis can be applied to solve complex problems in discrete settings, bridging theoretical concepts with practical applications.

Throughout the work, the author delves into representations and expanders, skillfully guiding readers through the intricacies of these topics. With clear explanations and numerous examples, the book serves as both an introduction for newcomers and a valuable reference for advanced researchers seeking to deepen their understanding of this dynamic field.