Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time

Anthony Carbery

Littlewood--Paley theory began with the classic paper of Littlewood and Paley (J.\ E.\ Littlewood, R.\ E.\ A.\ C.\ Paley, {\em Theorems on Fourier Series and Power Series}. J. Lond…