5 papers
An introduction to extended Gevrey regularity
Nenad Teofanov, Filip Tomić, Milica Žigić
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider s…
Almost diagonalization of DO's over various generalized function spaces
Stevan Pilipović, Nenad Teofanov, Filip Tomić
Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a f…
Band-limited wavelets beyond Gevrey regularity
Nenad Teofanov, Filip Tomić, Stefan Tutić
It is known that a smooth function of exponential decay at infinity can not be an orthonormal wavelet. Dziubański and Hernández constructed smooth orthonormal wavelets of Gevrey ty…
Extended Gevrey regularity via weighted matrices
Nenad Teofanov, Filip Tomić
The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces and the space of smooth functi…
Boundary values in ultradistribution spaces related to extended Gevrey regularity
Stevan Pilipović, Nenad Teofanov, Filip Tomić
Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to ass…