Connes Integration Formula: A Constructive Approach

被引：1

作者：

Zanin, D. V. ^{[1
]}

Sukochev, F. A. ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Kensington, NSW, Australia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2023年 / 57卷 / 01期

关键词：

Connes integration formula; compact d-dimensional Riemannian manifold; Birman- Solomyak asymptotic formula; ASYMPTOTICS; SPECTRUM;

D O I：

10.1134/S0016266323010045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：40 / 59

页数：20

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