Traces and residues of pseudo-differential operators on the torus

DOI10.1007/s00020-015-2255-0zbMath1369.58019OpenAlexW1158748088MaRDI QIDQ747176

Albrecht Pietsch

Publication date: 23 October 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-015-2255-0

zbMATH Keywords

tracesymbolpseudo-differential operatoroperator idealConnes' trace theoremdyadic representationresidueshift-invariant linear form

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Banach sequence spaces (46B45)

Related Items (4)

Local and global symbols on compact Lie groups ⋮ NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS ⋮ Unnamed Item ⋮ The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds

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