Characterization of analytic functions in terms of their wavelet coefficients

Publisher Website
Google Scholar
Abstract
This paper investigates the relationship between the analyticity of a function and its wavelet coefficients where , with and ϕ is a Meyer-type mother wavelet. It is shown that if f is analytic in a neighborhood of the real axis, then the wavelet coefficients must satisfy certain growth conditions. Conversely, a sufficient condition on the coefficients is given to ensure that f is analytic in a neighborhood of the real line. Another sufficient condition on the coefficients is given which guarantees that f is an entire function.
Keywords

This publication has 2 references indexed in Scilit: