Which pseudodifferential operators with radial symbols are non-negative?

DOI10.1007/s11868-015-0142-8zbMath1336.81037OpenAlexW2203396446MaRDI QIDQ262293

André Unterberger

Publication date: 29 March 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0142-8

zbMATH Keywords

Weyl symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Pseudodifferential operators (47G30)

Related Items (2)

On the Weyl symbol of the resolvent of the harmonic oscillator ⋮ Spectral properties of Landau Hamiltonians with non-local potentials

Cites Work

• Oscillateur harmonique et opérateurs pseudo-différentiels
• Mathieu functions and eigenfunctions of the relativistic oscillator
• Lower bounds for pseudodifferential operators with a radial symbol
• L'oscillateur relativiste et les fonctions de Mathieu
• Quantification relativiste
• Lower bounds for pseudo-differential operators
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