The book is structured into two main parts, covering the following chapters: Part I: Foundations and Convergence (Chapters 1–9)
This section covers foundational topics including basic Fourier series, coefficients, summability, function classes, special series, absolute convergence, complex methods, divergence, and Riemann's theory. A. Zygmund-Trigonometric Series, Third Edition,...
This section delves into advanced subjects, including interpolation, differentiation of series, operators, almost everywhere convergence, further complex methods, Littlewood-Paley functions, integrals, and multiple Fourier series. The book is structured into two main parts,