33 citations · 558 across the 95 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…
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…
Beurling integers with RH and large oscillation
Frederik Broucke, Gregory Debruyne, Jasson Vindas
We construct a Beurling generalized number system satisfying the Riemann hypothesis and whose integer counting function displays extremal oscillation in the following sense. The pr…
An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions
Frederik Broucke, Gregory Debruyne, Jasson Vindas
We study the family of Fourier-Laplace transforms $$ F_{α,β}(z)= \operatorname*{F.p.} \int_{0}^{\infty} t^β\exp(\mathrm{i} t^α-\mathrm{i} z t)\:\mathrm{d} t, \quad \operatorname*{I…
Note on vector valued Hardy spaces related to analytic functions having distributional boundary values
Richard D. Carmichael, Stevan Pilipović, Jasson Vindas
Analytic functions defined on a tube domain and taking values in a Banach space which are known to have -valued distributional boundary values…
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: a constructive approach
Frederik Broucke, Gregory Debruyne, Jasson Vindas
We construct explicit counterexamples that show that it is impossible to get any remainder, other than the classical ones, in the Wiener-Ikehara theorem and the Ingham-Karamata the…