On the wavelets having Gevrey regularities and subexponential decays

Naohiro Fukuda, Tamotu Kinoshita, Ion Uehara · Mathematische Nachrichten · 2013

It is known that there is no orthonormal wavelet belonging to and having exponential decay. In this paper, we shall construct new wavelets having Gevrey regularities both in time and frequency. Furthermore, we also construct a wavelet belonging to and having almost exponential decay.

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