166 citations · 694 across the 58 of their papers we have counts for
63 papers
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…
Stochastic evolution equations with Wick-polynomial nonlinearities
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study nonlinear parabolic stochastic partial differential equations with Wick-power and Wick-polynomial type nonlinearities set in the framework of white noise analysis. These e…
Stochastic evolution equations with multiplicative noise
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study parabolic stochastic partial differential equations (SPDEs), driven by two types of operators: one linear closed operator generating a semigroup and one linear bound…