18 citations · 115 across the 44 of their papers we have counts for
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On the surjectivity of the Cauchy-Riemann and Laplace operators on weighted spaces of smooth functions
Andreas Debrouwere, Quinten Van Boxstael, Jasson Vindas
We study the surjectivity of the Cauchy-Riemann and Laplace operators on certain weighted spaces of smooth functions of rapid decay on strip-like domains in the complex plane that…
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators
Andreas Debrouwere, Thomas Kalmes
We prove quantitative Runge type approximation results for spaces of smooth zero solutions of several classes of linear partial differential operators with constant coefficients. A…
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…
Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type
Andreas Debrouwere, Jasson Vindas
We obtain discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type. It is shown that the microlocal properties of an ultradistribution can be obtain…