33 citations · 558 across the 95 of their papers we have counts for
8 papers · 1 filter
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…
The pointwise behavior of Riemann's function
Frederik Broucke, Jasson Vindas
We present a new and simple method for the determination of the pointwise Hölder exponent of Riemann's function at every point of the rea…
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…
Note on the absence of remainders in the Wiener-Ikehara theorem
Gregory Debruyne, Jasson Vindas
We show that it is impossible to get a better remainder than the classical one in the Wiener-Ikehara theorem even if one assumes analytic continuation of the Mellin transform after…
Optimal Tauberian constant in Ingham's theorem for Laplace transforms
Gregory Debruyne, Jasson Vindas
It is well known that there is an absolute constant such that if the Laplace transform of a bounded function …
On the radial derivative of the delta distribution
Fred Brackx, Frank Sommen, Jasson Vindas
Possibilities for defining the radial derivative of the delta distribution in the setting of spherical coordinates are explored. This leads to the introduction o…