Local and global symbols on compact Lie groups

DOI10.1007/s11868-019-00299-xzbMath1440.58011arXiv1711.03083OpenAlexW2963269145WikidataQ115377545 ScholiaQ115377545MaRDI QIDQ2174857

Veronique Fischer

Publication date: 27 April 2020

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

Full work available at URL: https://arxiv.org/abs/1711.03083

zbMATH Keywords

canonical tracepseudo-differential operators on manifoldsanalysis on the torus and on compact Lie groupsnon-commutative residue

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative global analysis, noncommutative residues (58J42) Harmonic analysis on general compact groups (43A77)

Related Items (2)

Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary ⋮ Real trace expansions

Cites Work

• Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
• Intrinsic pseudo-differential calculi on any compact Lie group
• Traces and residues of pseudo-differential operators on the torus
• Local invariants of spectral asymmetry
• On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
• On symbol analysis of periodic pseudodifferential operators
• Traces and quasi-traces on the Boutet de Monvel algebra.
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• Differential structure on the dual of a compact Lie group
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Real trace expansions
• The noncommutative residue for manifolds with boundary
• The canonical trace and the noncommutative residue on the noncommutative torus
• Pseudodifferential Operators and Regularized Traces
• Local and Global Descriptions of Periodic Pseudodifferential Operators
• Pseudo-Differential Operators and Symmetries
• Characterizations of pseudodifferential operators on the circle
• Lie Groups, Lie Algebras, and Representations
• Lie groups beyond an introduction
• Critical metrics for the determinant of the Laplacian in odd dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local and global symbols on compact Lie groups