Canad. Math. Bull. 53(2010), 133-139
Printed: Mar 2010
We give a further decay estimate for the Dziubański-Hernández wavelets that are band-limited and have subexponential decay. This is done by constructing an appropriate bell function and using the Paley-Wiener theorem for ultradifferentiable functions.
wavelets, ultradifferentiable functions
42C40 - Wavelets and other special systems
46E10 - Topological linear spaces of continuous, differentiable or analytic functions