33 citations · 76 across the 7 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…
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…
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;…
On a class of translation-invariant spaces of quasianalytic ultradistributions
Pavel Dimovski, Bojan Prangoski, Jasson Vindas
A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class o…
Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a number of new spaces of ultradifferentiable functions and ultradistributions and we apply our results to the study of the convolution of ultradistributions…
Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces
Pavel Dimovski, Stevan Pilipovic, Jasson Vindas
We study boundary values of holomorphic functions in translation-invariant distribution spaces of type . New edge of the wedge theorems are obtained. The…
New distribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Jasson Vindas
We introduce and study new distribution spaces, the test function space and its strong dual . These spaces generalize the Schwartz spaces…