M ‐elliptic pseudo‐differential operators on Lp(ℝn)

DOI10.1002/mana.200310363zbMath1102.47038OpenAlexW2062540714MaRDI QIDQ5469063

Man-Wah Wong

Publication date: 16 May 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310363

zbMATH Keywords

spectrumessential spectrumpseudo-differential operatorsHörmander classes\(M\)-ellipticity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectrum, resolvent (47A10) Dilations, extensions, compressions of linear operators (47A20) Multipliers in one variable harmonic analysis (42A45) Pseudodifferential operators (47G30)

Related Items

Essential spectrum of \(M\)-hypoelliptic pseudo-differential operators on the torus ⋮ Spectral theory of a hybrid class of pseudo-differential operators ⋮ Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) ⋮ Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn ⋮ \(M\)-ellipticity of Fredholm pseudo-differential operators on \(L^p (\mathbb{R}^n)\) and Gårding's inequality ⋮ M-Hypoelliptic pseudo-differential operators onL^p(ℝⁿ) ⋮ Fredholmness property of \(M\)-elliptic pseudo-differential operator under change variable in its symbol ⋮ Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n ) ⋮ Essential spectra and semigroups of perturbations ofM-hypoelliptic pseudo-differential operators onL^p(ℝⁿ) ⋮ Minimal and maximal extensions of \(M\)-hypoelliptic proper uniform pseudo-differential operators in \(L^p\)-spaces on non-compact manifolds ⋮ m-Microlocal elliptic pseudodifferential operators acting on L loc p(Ω) ⋮ Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\)

Cites Work

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• Wavelet transforms and localization operators