3 papers
math.FA2025
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…
math.AP2024
Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem
Stevan PilipoviÄ, Bojan Prangoski
We consider the space of distributional sections of the smooth complex vector bundle whose Sobolev wave front set of order …
math.FA2024
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…