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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…
Quasinormability and property for spaces of smooth and ultradifferentiable vectors associated with Lie group representations
Andreas Debrouwere, Michiel Huttener, Jasson Vindas
We prove that the spaces of smooth and ultradifferentiable vectors associated with a representation of a real Lie group on a Fréchet space are quasinormable if is so. A si…
Strong factorization of ultradifferentiable vectors associated with compact Lie group representations
Andreas Debrouwere, Michiel Huttener, Jasson Vindas
We show a strong factorization theorem of Dixmier-Malliavin type for ultradifferentiable vectors associated with compact Lie group representations on sequentially complete locally…
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…
Quantitative uncertainty principles for time-frequency Gaussian decay
Lenny Neyt, Joachim Toft, Jasson Vindas
For real symmetric positive definite matrices and , we characterize when a function satisfies \[ |f(x)| \lesssim e^{-(\frac12 - λ) \langle Ax, x\r…
On the inclusion relations between Gelfand-Shilov spaces
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We study inclusion relations between Gelfand-Shilov type spaces defined via a weight (multi-)sequence system, a weight function system, and a translation-invariant Banach function…