4 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 PilipoviÄ, Bojan Prangoski, ÄorÄe VuÄkoviÄ
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 win…
Stochastic evolution equations with Wick-analytic nonlinearities
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stocha…