33 citations · 558 across the 95 of their papers we have counts for
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On the projective description of spaces of ultradifferentiable functions of Roumieu type
Andreas Debrouwere, Bojan Prangoski, Jasson Vindas
We provide a projective description of the space of ultradifferentiable functions of Roumieu type, where is an arbitrary open set in $\mathb…
The nuclearity of Gelfand-Shilov spaces and kernel theorems
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We study the nuclearity of the Gelfand-Shilov spaces and , defined via a weight (mu…
The Fourier transform of thick distributions
Ricardo Estrada, Jasson Vindas, Yunyun Yang
We first construct a space whose elements are test functions defined in $\mathbb{R} _{\text{c}}^{n}=\mathbb{R}^{n}\cup\left\{…
Characterization of nuclearity for Beurling-Björck spaces
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We characterize the nuclearity of the Beurling-Björck spaces and in terms of the defining weight…
On the space of ultradistributions vanishing at infinity
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We study the structural and linear topological properties of the space of ultradistributions vanishing at infinity (with respect to a weight fun…
Multiresolution expansions and wavelets in Gelfand-Shilov spaces
Stevan Pilipović, Dušan Rakić, Nenad Teofanov +1
We study approximation properties generated by highly regular scaling functions and orthonormal wavelets. These properties are conveniently described in the framework of Gelfand-Sh…