Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces
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Publication:2330804
DOI10.1007/s11854-019-0048-0zbMath1454.35100arXiv1609.06214OpenAlexW2963497978MaRDI QIDQ2330804
Todor Gramchev, Marco Cappiello, Luigi Rodino, Stevan Pilipović
Publication date: 23 October 2019
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06214
Fourier coefficientsGelfand-Shilov spaceseigenfunction expansionsGevrey spacesanisotropic differential operator
Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for first-order hyperbolic systems (35L45) Higher-order elliptic equations (35J30) Initial value problems for PDEs with pseudodifferential operators (35S10)
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Sequence space representations for spaces of smooth functions and distributions via Wilson bases ⋮ Anisotropic global microlocal analysis for tempered distributions ⋮ The nuclearity of Gelfand-Shilov spaces and kernel theorems ⋮ Sequence space representations for spaces of entire functions with rapid decay on strips ⋮ Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\)
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