Factorization of the characteristic function of a Jacobi matrix

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F17%3A00303924" target="_blank" >RIV/68407700:21240/17:00303924 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/17:00303924
Result on the web
<a href="http://oam.ele-math.com/11-11/Factorization-of-the-characteristic-function-of-a-Jacobi-matrix" target="_blank" >http://oam.ele-math.com/11-11/Factorization-of-the-characteristic-function-of-a-Jacobi-matrix</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7153/oam-11-11" target="_blank" >10.7153/oam-11-11</a>

Result language
angličtina
Original language name
Factorization of the characteristic function of a Jacobi matrix
Original language description
In a recent paper a class of in nite Jacobi matrices with discrete character of spectra has been introduced. With each Jacobi matrix from this class an analytic function is associated, called the characteristic function, whose zero set coincides with the point spectrum of the corresponding Jacobi operator. Here it is shown that the characteristic function admits Hadamard's factorization in two possible ways { either in the spectral parameter or in an auxiliary parameter which may be called the coupling constant. As an intermediate result, an explicit expression for the power series expansion of the logarithm of the characteristic function is obtained.
Czech name
—
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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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