166 citations · 694 across the 58 of their papers we have counts for
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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…
Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a number of new spaces of ultradifferentiable functions and ultradistributions and we apply our results to the study of the convolution of ultradistributions…
Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces
Pavel Dimovski, Stevan Pilipovic, Jasson Vindas
We study boundary values of holomorphic functions in translation-invariant distribution spaces of type . New edge of the wedge theorems are obtained. The…
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…
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…
Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequen…