CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients.
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| Title: | CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients. |
|---|---|
| Authors: | Damanik, David, Ruzhansky, Michael, Vougalter, Vitali, Wong, M.W., Zinchenko, M. |
| Source: | Mathematical Modelling of Natural Phenomena. Sep2014, Vol. 9 Issue 5, p282-00294. 13p. |
| Subjects: | Common method variance, Matrices (Mathematics), Exponential functions, Coefficients (Statistics), Inverse problems |
| Abstract: | We investigate several equivalent notions of the Jost solution associated with a unitary CMV matrix and provide a necessary and sufficient conditions for the Jost solution to consist of entire functions of finite growth order in terms of super exponential decay of Verblunsky coefficients. We also establish several one-to-one correspondences between CMV matrices with super-exponentially decaying Verblunsky coefficients and spectral data associated with the first component of the Jost solution. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 99118419 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Damanik%2C+David%22">Damanik, David</searchLink><br /><searchLink fieldCode="AR" term="%22Ruzhansky%2C+Michael%22">Ruzhansky, Michael</searchLink><br /><searchLink fieldCode="AR" term="%22Vougalter%2C+Vitali%22">Vougalter, Vitali</searchLink><br /><searchLink fieldCode="AR" term="%22Wong%2C+M%2EW%2E%22">Wong, M.W.</searchLink><br /><searchLink fieldCode="AR" term="%22Zinchenko%2C+M%2E%22">Zinchenko, M.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+of+Natural+Phenomena%22">Mathematical Modelling of Natural Phenomena</searchLink>. Sep2014, Vol. 9 Issue 5, p282-00294. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Common+method+variance%22">Common method variance</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+functions%22">Exponential functions</searchLink><br /><searchLink fieldCode="DE" term="%22Coefficients+%28Statistics%29%22">Coefficients (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+problems%22">Inverse problems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We investigate several equivalent notions of the Jost solution associated with a unitary CMV matrix and provide a necessary and sufficient conditions for the Jost solution to consist of entire functions of finite growth order in terms of super exponential decay of Verblunsky coefficients. We also establish several one-to-one correspondences between CMV matrices with super-exponentially decaying Verblunsky coefficients and spectral data associated with the first component of the Jost solution. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1051/mmnp/20149519 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 282 Subjects: – SubjectFull: Common method variance Type: general – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Exponential functions Type: general – SubjectFull: Coefficients (Statistics) Type: general – SubjectFull: Inverse problems Type: general Titles: – TitleFull: CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Damanik, David – PersonEntity: Name: NameFull: Ruzhansky, Michael – PersonEntity: Name: NameFull: Vougalter, Vitali – PersonEntity: Name: NameFull: Wong, M.W. – PersonEntity: Name: NameFull: Zinchenko, M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 09735348 Numbering: – Type: volume Value: 9 – Type: issue Value: 5 Titles: – TitleFull: Mathematical Modelling of Natural Phenomena Type: main |
| ResultId | 1 |
