Extending wavelet regularity beyond Gevrey classes

Filip Tomić, Stefan Tutić, Milica Žigić

We construct a smooth orthonormal wavelet $\psi$ such that both $\psi$ and its Fourier transform $\hat{\psi }$ belong to the extended Gevrey class ${\mathcal{E}}_{\sigma }(\mathbb{R})$ for $\sigma >1$, p…