166 citations · 694 across the 58 of their papers we have counts for
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On a class of Mikhlin multipliers which do not preserve -, -regularity and continuity
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski
We show that every Fourier multiplier with real-valued and positively homogeneous symbol of order 0, supported in a cone whose dual cone has a nonempty interior and such that the a…
Topology and regularity for generalized ultradistribution algebras
Stevan Pilipovic, Dragana Risteski, Dimitris Scarpalezos +1
Compiling essential results for non-quasianalytic ultradistribution spaces and Colombeau versions of generalized ultradistribution algebras, we analyze strong - and strong -a…
Extension of Localisation Operators to Ultradistributional Symbols With Super-Exponential Growth
Stevan Pilipović, Bojan Prangoski, Đorđe Vučković
In the Gelfand-Shilov setting, the localisation operator is equal to the Weyl operator whose symbol is the convolution of with the Wigner transform of the windo…
Invertibility of matrix type operators of infinite order with exponential off-diagonal decay
Stevan Pilipovic, Bojan Prangoski, Milica Zigic
We analyse various exponential off-diagonal decay rates of the elements of infinite matrices and their inverses. It is known that such decay of the elements of an infinite matrix d…
Generalized exponentially bounded integrated semigroups
Marko Kostic, Stevan Pilipovic, Milica Zigic
The main subject of this paper is the analysis of sequences of exponentially bounded integrated semigroups which are related to Cauchy problems \begin{equation}\label{jed} \frac{\p…
A Paley-Wiener theorem in extended Gevrey regularity
Stevan Pilipović, Nenad Teofanov, Filip Tomić
In this paper we introduce appropriate associated function to the sequence $M_p=p^{\t p^{\s}}$, , $\t>0$, $\s>1$, and derive its sharp asymptotic estimates in terms of the…