Spectral theory of pseudo-differential operators

DOI10.1006/AAMA.1994.1018zbMath0812.35171OpenAlexW1967438975MaRDI QIDQ1342755

Man-Wah Wong

Publication date: 21 February 1995

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1994.1018

zbMATH Keywords

essential spectraminimal and maximal operators of an elliptic pseudo-differential operatorspectral analysis of quantum mechanical observables

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Pseudodifferential operators (47G30)

Related Items (8)

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 ⋮ \(H\)-distributions with unbounded multipliers ⋮ Defect distributions related to weakly convergent sequences in Bessel-type spaces \(H_{\Lambda}^{-s,p}\) ⋮ 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) ⋮ Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces

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