3 papers
math.FA2026
Spectral characterizations of stable operator semigroups
Morgan Callewaert, Lenny Neyt, Jasson Vindas
We introduce the notion of local pseudofunction spectrum for the infinitesimal generator of a bounded -semigroup on a Banach…
math.FA2025
Optimal decay of semi-uniformly stable operator semigroups with empty spectrum
Morgan Callewaert, Lenny Neyt, Jasson Vindas
We show that it is impossible to quantify the decay rate of a semi-uniformly stable operator semigroup based on sole knowledge of the spectrum of its infinitesimal generator. More…
math.CA2024
On a space of functions with entire Laplace transforms and its connection with the optimality of the Ingham-Karamata theorem
Morgan Callewaert, Lenny Neyt, Jasson Vindas
We study approximation properties of the Fréchet space of all continuously differentiable functions such that and such that their Laplace transforms admit entire e…