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Sbornik: Mathematics, 2007, Volume 198, Issue 6, Pages 857–885
DOI: https://doi.org/10.1070/SM2007v198n06ABEH003864 (Mi sm3782) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Trace formulae for a class of Jacobi operators

S. P. Suetin

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (473 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM2007v198n06ABEH003864
Abstract: The class of Jacobi operators generated by unit Borel measures with support formed by finitely many intervals of the real line $\mathbb R$ and finitely many points in $\mathbb R$ lying outside the convex hull of these intervals is investigated. An asymptotic formula for the diagonal Green's function in this class is obtained as well as the trace formulae for sequences $a,b\in\ell^\infty(\mathbb N)$ corresponding to a fixed operator.
Bibliography: 39 titles.
Received: 18.10.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 6, Pages 107–138
DOI: https://doi.org/10.4213/sm3782
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.984.51+517.962
MSC: Primary 47B36, 30B70, 40A15; Secondary 41A21
Language: English
Original paper language: Russian
Citation: S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Mat. Sb., 198:6 (2007), 107–138; Sb. Math., 198:6 (2007), 857–885
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:799
    Russian version PDF:313
    English version PDF:13
    References:83
    First page:12
     
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