The Characteristic Function for a Particular Class of Infinite Jacobi Matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00176597" target="_blank" >RIV/68407700:21340/10:00176597 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The Characteristic Function for a Particular Class of Infinite Jacobi Matrices
Original language description
Spectral properties of semi-infinite symmetric Jacobi matrices with diagonal created by a real and strictly increasing sequence such that the reciprocal sequence belongs to l^2 is studied. Parallels to the diagonal are composed of a positive and boundedsequence. It is shown the spectrum of these matrices is simple and discrete. Further functions E and F with simple and nice algebraic properties are defined on a subset of the space of complex sequences. Some special functions are expressible in terms ofthese functions, first of all the Bessel functions of first kind. The main result of this work is finding a function which is expressed with the aid of F applied to a certain sequence with a property that zeros of this function coincide with eigenvaluesof the Jacobi matrix under investigation.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Doktorandské dny 2010
ISBN
978-80-01-04644-9
ISSN
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e-ISSN
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Number of pages
11
Pages from-to
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Publisher name
Česká technika - nakladatelství ČVUT
Place of publication
Praha
Event location
Praha
Event date
Nov 19, 2010
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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