The Role of the Branch Cut of the Logarithm in the Definition of the Spectral Determinant for Non-Self-Adjoint Operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50021132" target="_blank" >RIV/62690094:18470/23:50021132 - isvavai.cz</a>
Result on the web
<a href="http://appol.ifpan.edu.pl/index.php/appa/article/view/144_462" target="_blank" >http://appol.ifpan.edu.pl/index.php/appa/article/view/144_462</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12693/APhysPolA.144.462" target="_blank" >10.12693/APhysPolA.144.462</a>
Alternative languages
Result language
angličtina
Original language name
The Role of the Branch Cut of the Logarithm in the Definition of the Spectral Determinant for Non-Self-Adjoint Operators
Original language description
The spectral determinant is usually defined using the spectral zeta function that is meromorphically continued to zero. In this definition, the complex logarithms of the eigenvalues appear. Hence, the notion of the spectral determinant depends on the way in which one chooses the branch cut in the definition of the logarithm. We give results for the non-self-adjoint operators that specify when the determinant can and cannot be defined and how its value differs depending on the choice of the branch cut.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotic and spectral analysis of operators in mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta physica polonica. Seria A, General physics, solid state physics, applied physics
ISSN
0587-4246
e-ISSN
1898-794X
Volume of the periodical
144
Issue of the periodical within the volume
6
Country of publishing house
PL - POLAND
Number of pages
7
Pages from-to
462-468
UT code for WoS article
001171334800007
EID of the result in the Scopus database
2-s2.0-85184664377