3 papers
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…
math.FA2016
Ultradifferentiable functions of class $M_p^{\t,\s}$ and microlocal regularity
Nenad Teofanov, Filip Tomic
We study spaces of ultradifferentiable functions which contain Gevrey classes. Although the corresponding defining sequences do not satisfy Komatsu's condition (M.2)', we prove app…