18 citations · 115 across the 44 of their papers we have counts for
6 papers · 1 filter
Quasianalytic functionals and ultradistributions as boundary values of harmonic functions
Andreas Debrouwere, Jasson Vindas
We study boundary values of harmonic functions in spaces of quasianalytic functionals and spaces of ultradistributions of non-quasianalytic type. As an application, we provide a ne…
Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces
Andreas Debrouwere, Thomas Kalmes
We study ultradistributional boundary values of zero solutions of a hypoelliptic constant coefficient partial differential operator on . Our…
Weighted -spaces of ultradifferentiable functions and multiplier spaces
Andreas Debrouwere, Lenny Neyt
We study weighted -spaces of ultradifferentiable functions defined via a weight function (in the sense of Braun, Meise and Taylor) and a weight system. We characterize when…
The Borel-Ritt problem in Beurling ultraholomorphic classes
Andreas Debrouwere
We give a complete solution to the Borel-Ritt problem in non-uniform spaces of ultraholomorphic functions of Beurling type, where is an unbounded secto…
Factorization in Denjoy-Carleman classes associated to representations of
Andreas Debrouwere, Bojan Prangoski, Jasson Vindas
For two types of moderate growth representations of on sequentially complete locally convex Hausdorff spaces (including F-representations [J. Funct. Anal. 262 (2…
Sequence space representations for spaces of entire functions with rapid decay on strips
Andreas Debrouwere
We obtain sequence space representations for a class of Fréchet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand…