Faculty of Mechanical Engineering
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Item type:Publication, Gabor frame characterizations of generalized modulation spaces(World Scientific Pub Co Pte Ltd, 2023) ;Debrouwere, Andreas<jats:p> We obtain Gabor frame characterizations of modulation spaces defined via a broad class of translation-modulation invariant Banach spaces of distributions. We show that these spaces admit an atomic decomposition through Gabor expansions and that they are characterized by summability properties of their Gabor coefficients. Furthermore, we construct a large space of admissible windows. This generalizes and unifies several fundamental results for the classical modulation spaces [Formula: see text] and the amalgam spaces [Formula: see text]. Due to the absence of solidity assumptions on the Banach spaces defining these generalized modulation spaces, the methods used for the spaces [Formula: see text] (or, more generally, in coorbit space theory) fail in our setting and we develop here a new approach based on the twisted convolution. </jats:p> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable(Springer Science and Business Media LLC, 2023-01) ;Jakšić, Smiljana ;Pilipović, Stevan - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Modulation spaces associated with tensor products of amalgam spaces(Springer Science and Business Media LLC, 2022) ;Feichtinger, Hans G. ;Pilipović, Stevan - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Extension of localisation operators to ultradistributional symbols with super-exponential growth(Springer Science and Business Media LLC, 2022-08-30) ;Pilipović, Stevan; Vučković, Ɖorđe - Some of the metrics are blocked by yourconsent settings
Item type:Publication, EQUIVALENCE OF ELLIPTICITY AND THE FREDHOLM PROPERTY IN THE WEYL-HÖRMANDER CALCULUS(Cambridge University Press (CUP), 2022) ;Pilipović, Stevan - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Characterisation of the Weyl-Hörmander classes by time-frequency shifts(Elsevier BV, 2022-12) ;Pilipović, Stevan - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Factorization in Denjoy-Carleman classes associated to representations of $(\mathbb{R}^{d},+)$(Elsevier BV, 2021) ;Andreas Debrouwere; Jasson VindasFor two types of moderate growth representations of $(\mathbb{R}^d,+)$ on sequentially complete locally convex Hausdorff spaces (including F-representations [J. Funct. Anal. 262 (2012), 667-681], we introduce Denjoy-Carleman classes of ultradifferentiable vectors and show a strong factorization theorem of Dixmier-Malliavin type for them. In particular, our factorization theorem solves [Conjecture 6.; J. Funct. Anal. 262 (2012), 667-681] for analytic vectors of representations of $G =(\mathbb{R}^d,+)$. As an application, we show that various convolution algebras and modules of ultradifferentiable functions satisfy the strong factorization property. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Convolution with the Kernel $$e^{s\langle x\rangle ^q}, q\ge 1, s>0$$ Within Ultradistribution Spaces(Springer Science and Business Media LLC, 2021-06-10) ;Pilipović, Stevan; Vučković, Đorđe - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem(Springer Science and Business Media LLC, 2021-05-17) ;Pilipović, Stevan; Vindas, Jasson
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