166 citations · 694 across the 58 of their papers we have counts for
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On the characterisations of wave front sets via the short-time Fourier transform
Stevan Pilipovic, Bojan Prangoski
It is well known that the classical and Sobolev wave fronts were extended into non-equivalent global versions by the use of the short-time Fourier transform. In this very short pap…
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…
Wave equation for generalized Zener model containing complex order fractional derivatives
Teodor M. Atanacković, Marko Janev, Sanja Konjik +1
We study waves in a viscoelastic rod whose constitutive equation is of generalized Zener type that contains fractional derivatives of complex order. The restrictions following from…
Beyond Gevrey regularity
Stevan Pilipović, Nenad Teofanov, Filip Tomić
We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komats…
Semilinear pseudodifferential equations in spaces of tempered ultradistributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We study a class of semilinear elliptic equations on spaces of tempered ultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is an ellipti…
Complex order fractional derivatives in viscoelasticity
Teodor M. Atanacković, Sanja Konjik, Stevan Pilipović +1
We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first…