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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…
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…
Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces
Lenny Neyt, Jasson Vindas
We obtain structural theorems for the so-called S-asymptotic and quasiasymptotic boundedness of ultradistributions. Using these results, we then analyze the moment asymptotic expan…
A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
Lenny Neyt, Jasson Vindas
We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bound…