Research in the theory of trigonometric series has been carried out for over two centuries. The results obtained have greatly influenced various fields of mathe

This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical theory of Fourier series de

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro sum

The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the bas

The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.