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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 1, Pages 52–76
DOI: https://doi.org/10.4213/faa4025 (Mi faa4025) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Connes integration formula: a constructive approach

D. V. Zanin, F. A. Sukochev

University of New South Wales, School of Mathematics and Statistics
Full-text PDF (777 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa4025
Abstract: 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.
Keywords: Connes integration formula, compact d-dimensional Riemannian manifold, Birman–Solomyak asymptotic formula.
Received: 14.06.2022
Revised: 12.08.2022
Accepted: 06.10.2022
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 1, Pages 40–59
DOI: https://doi.org/10.1134/S0016266323010045
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Zanin, F. A. Sukochev, “Connes integration formula: a constructive approach”, Funktsional. Anal. i Prilozhen., 57:1 (2023), 52–76; Funct. Anal. Appl., 57:1 (2023), 40–59
Citation in format AMSBIB
\Bibitem{ZanSuk23}
\by D.~V.~Zanin, F.~A.~Sukochev
\paper Connes integration formula: a constructive approach
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 1
\pages 52--76
\mathnet{http://mi.mathnet.ru/faa4025}
\crossref{https://doi.org/10.4213/faa4025}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 1
\pages 40--59
\crossref{https://doi.org/10.1134/S0016266323010045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85165128203}
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  • https://doi.org/10.4213/faa4025
  • https://www.mathnet.ru/eng/faa/v57/i1/p52
    • This publication is cited in the following 2 articles:
    1. Moulay Tahar Benameur, James L. Heitsch, “The higher fixed point theorem for foliations: applications to rigidity and integrality”, Ann. Funct. Anal., 15:4 (2024)  crossref
    2. Yuri Kordyukov, Fedor Sukochev, Dmitriy Zanin, Lecture Notes in Mathematics, 2359, Principal Symbol Calculus on Contact Manifolds, 2024, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:284
    Full-text PDF :44
    References:40
    First page:17
     
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