33 citations · 558 across the 95 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…
Infinite order DOs: Composition with entire functions, new Shubin-Sobolev spaces, and index theorem
Stevan Pilipović, Bojan Prangoski, Jasson Vindas
We study global regularity and spectral properties of power series of the Weyl quantisation , where is a classical elliptic Shubin polynomial. For a suitable entire…
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in
Đorđe Vučković, Jasson Vindas
We obtain a characterization of and , the general Gelfand-Shilov spaces of ultradiffere…
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…
Wave fronts via Fourier series coefficients
Snjezana Maksimovic, Stevan Pilipovic, Petar Sokoloski +1
Motivated by the product of periodic distributions, we give a new description of the wave front and the Sobolev-type wave front of a distribution i…