13 papers
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 theorem for smooth vectors of exponential solvable Lie group representations
Santiago Chaves, Andreas Debrouwere, Alberto Hernández Alvarado +2
We establish new strong factorization properties for the smooth vectors of representations of exponential solvable Lie groups on Fréchet spaces. In particular, our results improve…
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…
A Wiener-Ikehara type theorem and its application to Chebyshev bounds for Beurling primes
Yarne Tranoy, Jasson Vindas
We provide a new version of the Wiener-Ikehara theorem where one deduces bounds …
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…