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Inverse scattering problem for a special class of canonical systems and non-linear Fourier integral. Part I: asymptotics of eigenfunctions

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKUPIN, Stanislas
hal.structure.identifierInstitut für Analysis
dc.contributor.authorPEHERSTORFER, Franz
hal.structure.identifierComputer Science and Engineering Dept. [MSU CS]
dc.contributor.authorVOLBERG, Alexander
hal.structure.identifierInstitut für Analysis
dc.contributor.authorYUDITSKII, Peter
dc.date.accessioned2024-04-04T02:22:46Z
dc.date.available2024-04-04T02:22:46Z
dc.date.created2009
dc.date.issued2009
dc.identifier.issn0255-0156
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189673
dc.description.abstractEnAn original approach to the inverse scattering for Jacobi matrices was recently suggested in Volberg-Yuditskii [2002]. The authors considered quite sophisticated spectral sets (including Cantor sets of positive Lebesgue measure), however they did not take into account the mass point spectrum. This paper follows similar lines for the continuous setting with an absolutely continuous spectrum on the half-axis and a pure point spectrum on the negative half-axis satisfying the Blaschke condition. This leads us to the solution of the inverse scattering problem for a class of canonical systems that generalizes the case of Sturm-Liouville (Schrodinger) operator.
dc.language.isoen
dc.publisherSpringer
dc.title.enInverse scattering problem for a special class of canonical systems and non-linear Fourier integral. Part I: asymptotics of eigenfunctions
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
bordeaux.journalOperator Theory: Advances and Applications
bordeaux.page285-324
bordeaux.volume186
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00781331
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.itSchrodinger operator
dc.subject.itcanonical differential system
dc.subject.itinverse scattering
dc.subject.itfunctional model
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00781331v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Operator%20Theory:%20Advances%20and%20Applications&rft.date=2009&rft.volume=186&rft.spage=285-324&rft.epage=285-324&rft.eissn=0255-0156&rft.issn=0255-0156&rft.au=KUPIN,%20Stanislas&PEHERSTORFER,%20Franz&VOLBERG,%20Alexander&YUDITSKII,%20Peter&rft.genre=article


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