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math.FA2026
Extending wavelet regularity beyond Gevrey classes
Filip TomiÄ, Stefan TutiÄ, Milica ŽigiÄ
We construct a smooth orthonormal wavelet such that both and its Fourier transform belong to the extended Gevrey class for $Ï>…
math.FA2025
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…
math.FA2024
Topology and regularity for generalized ultradistribution algebras
Stevan Pilipovic, Dragana Risteski, Dimitris Scarpalezos +1
Compiling essential results for non-quasianalytic ultradistribution spaces and Colombeau versions of generalized ultradistribution algebras, we analyze strong - and strong -a…