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math.FA2023
Calderón's commutator on Stratified Lie groups
Yanping Chen, Zhenbing Gong, Ji Li +2
Motivated by the recent work of Gimperlein and Goffeng on Calderón's commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the…
math-ph2023
A General Dixmier Trace Formula for the Density of States on Open Manifolds
Eva-Maria Hekkelman, Edward McDonald
We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the densit…