<div class="csl-bib-body">
<div class="csl-entry">Kostenko, O. (2024, June 13). <i>Trace formulas and inverse spectral theory for strings</i> [Conference Presentation]. Quantum Dynamics and Spectral Theory 2024, Stockholm, Sweden.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/201619
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dc.description.abstract
Generalized indefinite strings provide a canonical model for self-adjoint operators with simple spectrum (other classical models are Jacobi matrices, Krein strings and 2×2 canonical systems). We’ll present several Szego-type theorems for generalized indefinite strings and related spectral problems (including Krein strings and Dirac operators). More specifically, for several classes of coefficients (that can be regarded as Hilbert-Schmidt perturbations of model problems), we provide a complete characterization of the corresponding set of spectral measures. In particular, our results also apply to the isospectral Lax operator for the conservative Camassa-Holm flow and allow us to establish existence of global weak solutions with various step-like initial conditions of low regularity via the inverse spectral transform. The talk is based on joint work with J.Eckhardt.
en
dc.language.iso
en
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dc.subject
Generalized indefinite strings
en
dc.subject
inverse spectral theory
en
dc.subject
trace formulas
en
dc.title
Trace formulas and inverse spectral theory for strings
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101-01 - Forschungsbereich Analysis
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tuw.event.name
Quantum Dynamics and Spectral Theory 2024
en
tuw.event.startdate
10-06-2024
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tuw.event.enddate
14-06-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Stockholm
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tuw.event.country
SE
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tuw.event.institution
Mittag-Leffler Institut
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tuw.event.presenter
Kostenko, Oleksiy
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.cerifentitytype
Publications
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item.openairetype
conference paper not in proceedings
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item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.grantfulltext
none
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crisitem.author.dept
E101-01 - Forschungsbereich Analysis
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crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
