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…
Wiener amalgam spaces of quasianalytic ultradistributions
Pavel Dimovski, Bojan Prangoski
We define Wiener amalgam spaces of (quasi)analytic ultradistributions whose local components belong to a general class of translation and modulation invariant Banach spaces of ultr…
Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time Fourier transform
Pavel Dimovski, Bojan Prangoski
We define ultradistributional wave front sets with respect to translation-modulation invariant Banach spaces of ultradistributions having solid Fourier image. The main result is th…
Translation-modulation invariant Banach spaces of ultradistributions
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products;…