EVERYWHERE DIVERGENCE OF ONE-SIDED ERGODIC HILBERT TRANSFORM

Fan, AH; Schmeling, J

Fan, AH (reprint author), Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.; Fan, AH (reprint author), Univ Picardie Jules Verne, Fac Math & Informat, 33 Rue St Leu, F-80039 Amiens 1, France.

ANNALES DE L INSTITUT FOURIER, 2018; 68 (6): 2477

Abstract

For a given number alpha is an element of (0, 1) and a 1-periodic function f, we study the convergence of the series Sigma(infinity)(n=1) f(x+n alpha)......

Full Text Link