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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 003, 27 pp.
DOI: https://doi.org/10.20948/prepr-2018-3 (Mi ipmp2364) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials

A. I. Aptekareva, S. A. Denisovab, M. L. Yattselevc

a Keldysh Institute of Applied Mathematics, Russian Academy of Science, Moscow, Russian Federation
b Department of Mathematics, University of Wisconsin-Madison, 480nLincoln Dr., Madison, WI 53706, USA
c Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 North Blackford Street, Indianapolis, IN 46202, USA
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DOI: https://doi.org/10.20948/prepr-2018-3
Abstract: Selfadjoint operators on the graph-trees are constructed by means of the difference equations connecting nearest neighbors in the lattice of multiple orthogonal polynomials. This construction generalizes the Jacobi matrices of the recurrence relations for orthogonal polynomials.
Keywords: difference operators on graphs; multiple orthogonal polynomials; discrete integrable systems; spectral and scattering problem.
Funding agency Grant number
Russian Science Foundation 14-21-00025
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials”, Keldysh Institute preprints, 2018, 003, 27 pp.
Citation in format AMSBIB
\Bibitem{AptDenYat18}
\by A.~I.~Aptekarev, S.~A.~Denisov, M.~L.~Yattselev
\paper Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials
\jour Keldysh Institute preprints
\yr 2018
\papernumber 003
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2364}
\crossref{https://doi.org/10.20948/prepr-2018-3}
\elib{https://elibrary.ru/item.asp?id=32312541}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:23
     
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