29 citations · 116 across the 28 of their papers we have counts for
3 papers · 1 filter
Infinite order DOs: Composition with entire functions, new Shubin-Sobolev spaces, and index theorem
Stevan Pilipović, Bojan Prangoski, Jasson Vindas
We study global regularity and spectral properties of power series of the Weyl quantisation , where is a classical elliptic Shubin polynomial. For a suitable entire…
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;…
Spectral asymptotics for infinite order pseudo-differential operators
Stevan Pilipović, Bojan Prangoski, Jasson Vindas
We study spectral properties of a class of global infinite order pseudo-differential operators and obtain the asymptotic behaviour of the spectral counting functions of such operat…