On generalized carleson operators of periodic wavelet packet expansions

Abstract

Three new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means has been studied. © 2013 Shyam Lal and Manoj Kumar.