4 papers · 1 filter
Gelfand-Shilov spaces for extended Gevrey regularity
Nenad Teofanov, Filip Tomic, Milica Zigic
We consider spaces of smooth functions obtained by relaxing Gevrey-type regularity and decay conditions. It is shown that these classes fit well within the general framework of the…
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…
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…
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…