Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F19%3A00326592" target="_blank" >RIV/68407700:21240/19:00326592 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/19:00326592
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2018.11.036" target="_blank" >https://doi.org/10.1016/j.jmaa.2018.11.036</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2018.11.036" target="_blank" >10.1016/j.jmaa.2018.11.036</a>

Result language
angličtina
Original language name
Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme
Original language description
We provide an explicit spectral representation for several weighted Hankel matrices by means of the so called commutator method. These weighted Hankel matrices are found in the commutant of Jacobi matrices associated with orthogonal polynomials from the Askey scheme whose Jacobi parameters are polynomial functions of the index. We also present two more results of general interest. First, we give a complete description of the commutant of a Jacobi matrix. Second, we deduce a necessary and sufficient condition for a weighted Hankel matrix commuting with a Jacobi matrix to determine a unique self-adjoint operator on ell^2(N_0).
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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