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math.FA2019
Extended Gevrey regularity via the short-time Fourier transform
Nenad Teofanov, Filip Tomic
We study the regularity of smooth functions whose derivatives are dominated by sequences of the form $M_p^{τ,\s}=p^{τp^{\s}}$, , $\s\geq1$. We show that such functions can be…
math.FA2019
A Paley-Wiener theorem in extended Gevrey regularity
Stevan Pilipović, Nenad Teofanov, Filip Tomić
In this paper we introduce appropriate associated function to the sequence $M_p=p^{\t p^{\s}}$, , $\t>0$, $\s>1$, and derive its sharp asymptotic estimates in terms of the…