Connes Integration Formula without singular traces

2021/03/16 by Fedor Sukochev, Dmitriy Zanin, Sukochev, Fedor +1 · 1 citation
Mathematics · #46L51 #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2103.08817

openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Cwikel-Solomyak estimates on tori and Euclidean spaces

Cited by

• Dixmier Trace Formulas and Negative Eigenvalues of Schroedinger\n Operators on Curved Noncommutative Tori

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