Originally published in 1935, Professor Zygmund's Trigonometric Series
rapidly established itself as a classic and has remained one of the most
referenced works of mathematics ever since. Originally published
separately, the two volumes were subsequently bound together as a single
book. Volume I contains the basic material on trigonometric series and
Fourier analysis, including the summability of Fourier series, special
trigonometric series, complex methods in Fourier series, and Riemann's
theory of trigonometric series. Volume II covers trigonometric
interpolation, differentiation of series, convergence and summability,
Fourier integrals and other advanced topics.