The characteristic function for Jacobi matrices with applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00200492" target="_blank" >RIV/68407700:21340/13:00200492 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/13:00200492
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2013.01.021" target="_blank" >http://dx.doi.org/10.1016/j.laa.2013.01.021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2013.01.021" target="_blank" >10.1016/j.laa.2013.01.021</a>

Result language
angličtina
Original language name
The characteristic function for Jacobi matrices with applications
Original language description
We introduce a class of Jacobi operators with discrete spectra which is characterized by a simple convergence condition. With any operator J from this class we associate a characteristic function as an analytic function on a suitable domain, and show that its zero set actually coincides with the set of eigenvalues of J in that domain. As an application we construct several examples of Jacobi matrices for which the characteristic function can be expressed in terms of special functions. In more detail westudy the example where the diagonal sequence of J is linear while the neighboring parallels to the diagonal are constant.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)