S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Sb. Math., 198:6 (2007), 857

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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) Russian version article

References:

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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

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”, Sb. Math., 198:6 (2007), 857–885

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/sm3782

https://doi.org/10.1070/SM2007v198n06ABEH003864

https://www.mathnet.ru/eng/sm/v198/i6/p107

This publication is cited in the following 7 articles:

I. E. Egorova, L. A. Pastur, “On asymptotic properties of polynomials orthogonal with respect to varying weights and related topics of spectral theory”, St. Petersburg Math. J., 25:2 (2014), 223–240
Peherstorfer F., “Orthogonal polynomials on several intervals: Accumulation points of recurrence coefficients and of zeros”, J. Approx. Theory, 163:7 (2011), 814–837
A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131
A. Kh. Khanmamedov, “The inverse scattering problem for a discrete Sturm-Liouville equation on the line”, Sb. Math., 202:7 (2011), 1071–1083
V. A. Kalyagin, A. A. Kononova, “On Compact Perturbations of the Limit-Periodic Jacobi Operator”, Math. Notes, 86:6 (2009), 789–800
S. P. Suetin, “Strong asymptotics of polynomials orthogonal with respect to a complex weight”, Sb. Math., 200:1 (2009), 77–93
S. P. Suetin, “Strong asymptotics of zeros of polynomials orthogonal with respect to a complex-valued weight”, Russian Math. Surveys, 62:4 (2007), 823–825

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	886
Russian version PDF:	333
English version PDF:	28
References:	102
First page:	12

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