Connes integration formula: a constructive approach

D. V. Zanin ; F. A. Sukochev

Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 1, pp. 52-76.

Résumé

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

Détail

Keywords: Connes integration formula, compact $d$-dimensional Riemannian manifold, Birman–Solomyak asymptotic formula.

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