Infinite Products for Regularized Characteristic Function of Jacobi Operator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00192617" target="_blank" >RIV/68407700:21340/11:00192617 - 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
Infinite Products for Regularized Characteristic Function of Jacobi Operator
Original language description
A function called $mathfrak{F}$ defined on a subspace of the space of complex sequences is introduced with its main algebraic properties. With the aid of $mathfrak{F}$, the characteristic function is defined for a Jacobi matrix from a certain class. Similarly as in the case of finite matrices, zeros of the characteristic function coincide with eigenvalues of the respective Jacobi operator. Further, I restrict myself on a more special subclass of investigated Jacobi matrices and derive a formula for the regularized characteristic function in terms of the infinite product of Hadamard type which forms the major part of the paper.
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
2011
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 2011
ISBN
978-80-01-04907-5
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
243-252
Publisher name
Česká technika - nakladatelství ČVUT
Place of publication
Praha
Event location
Praha
Event date
Nov 11, 2011
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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