Pseudo-differential calculus in anisotropic Gelfand-Shilov setting

DOI10.1007/s00020-019-2518-2zbMath1419.35262arXiv1805.03497OpenAlexW2964045050MaRDI QIDQ2422682

Joachim Toft, Marco Cappiello, Ahmed Abdeljawad

Publication date: 20 June 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03497

zbMATH Keywords

Gelfand-Shilov spacesshort-time Fourier transformGevrey regularityanisotropicsymbols of infinite order

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Analyticity in context of PDEs (35A20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (14)

Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Microlocal analysis for Gelfand-Shilov spaces ⋮ Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces ⋮ Pseudo-differential operators on Orlicz modulation spaces ⋮ Propagation of anisotropic Gelfand-Shilov wave front sets ⋮ Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces ⋮ Extended Gevrey Regularity via the Short-Time Fourier Transform ⋮ Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces ⋮ Sequence space representations for spaces of entire functions with rapid decay on strips ⋮ Bilinear pseudo-differential operators with Gevrey-Hörmander symbols ⋮ Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity ⋮ Schrödinger-type equations in Gelfand-Shilov spaces ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type ⋮ Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\)

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