Trace functionals for a class of pseudo-differential operators in \(\mathbb R^n\)

DOI10.1023/A:1022421819602zbMath1033.47034MaRDI QIDQ1870259

Fabio Nicola

Publication date: 11 May 2003

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorsDixmier tracenoncommutative residueWeyl formulatrace functionals

Mathematics Subject Classification ID

Noncommutative global analysis, noncommutative residues (58J42) Pseudodifferential operators (47G30)

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Sharp Weyl estimates for tensor products of pseudodifferential operators ⋮ Spectral theory of a hybrid class of pseudo-differential operators ⋮ On the spectral asymptotics of operators on manifolds with ends ⋮ Weyl asymptotics of bisingular operators and Dirichlet divisor problem ⋮ Nonminimal de Rham-Hodge operators and non-commutative residue ⋮ Unnamed Item ⋮ Wodzicki residue for operators on manifolds with cylindrical ends ⋮ Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\) ⋮ A Kastler-Kalau-Walze type theorem and the spectral action for perturbations of Dirac operators on manifolds with boundary ⋮ Weyl law on asymptotically Euclidean manifolds ⋮ Advances in Dixmier traces and applications ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ A note on the Einstein-Hilbert action and Dirac operators on \({\mathbb{R}^n}\) ⋮ Determinants of classical SG‐pseudodifferential operators ⋮ Gravity, Robertson-Walker metric and the Wodzicki residue ⋮ The Dixmier trace and asymptotics of zeta functions ⋮ Dixmier traces and extrapolation description of noncommutative Lorentz spaces

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