Connes Integration Formula without singular traces

Abstract

A version of Connes Integration Formula which provides concrete asymptotics of the eigenvalues is given. This radically extending the class of quantum-integrable functions on compact Riemannian manifolds.

References in corpus (2)

• Traces of compact operators and the noncommutative residue
• Cwikel-Solomyak estimates on tori and Euclidean spaces

Cited by in corpus (1)

• Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry