eBook
Banach Space Aspects of Frame Theory with Applications
| Title: | Banach Space Aspects of Frame Theory with Applications |
|---|---|
| Description: | This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic analysis, and quantum information theory, the book highlights a novel perspective: frame theory not only serves as a powerful and central tool in mathematics and engineering, but is also deeply intertwined with the structure and theory of Banach spaces. Rather than providing an exhaustive treatment, the book offers a broadly relevant and accessible overview that enables researchers across various fields to quickly grasp the foundational ideas and explore related research directions. |
| Authors: | Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu |
| Resource Type: | eBook. |
| Subjects: | Harmonic analysis, Mathematical analysis, Functional analysis, Frames (Vector analysis), Banach spaces, Mathematics--Data processing, Quantum computers, Geometry, Differential |
| Categories: | MATHEMATICS / Functional Analysis |
| Database: | eBook Index |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: edsebk DbLabel: eBook Index An: 4430146 RelevancyScore: 987 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 987.310668945313 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Banach Space Aspects of Frame Theory with Applications – Name: Abstract Label: Description Group: Ab Data: This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic analysis, and quantum information theory, the book highlights a novel perspective: frame theory not only serves as a powerful and central tool in mathematics and engineering, but is also deeply intertwined with the structure and theory of Banach spaces. Rather than providing an exhaustive treatment, the book offers a broadly relevant and accessible overview that enables researchers across various fields to quickly grasp the foundational ideas and explore related research directions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Deguang+Han%22">Deguang Han</searchLink><br /><searchLink fieldCode="AR" term="%22Qianfeng+Hu%22">Qianfeng Hu</searchLink><br /><searchLink fieldCode="AR" term="%22Bei+Liu%22">Bei Liu</searchLink><br /><searchLink fieldCode="AR" term="%22Rui+Liu%22">Rui Liu</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Harmonic+analysis%22">Harmonic analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+analysis%22">Functional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Frames+%28Vector+analysis%29%22">Frames (Vector analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+spaces%22">Banach spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics--Data+processing%22">Mathematics--Data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+computers%22">Quantum computers</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Differential%22">Geometry, Differential</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Functional+Analysis%22">MATHEMATICS / Functional Analysis</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=4430146 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 515.7 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Harmonic analysis Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Functional analysis Type: general – SubjectFull: Frames (Vector analysis) Type: general – SubjectFull: Banach spaces Type: general – SubjectFull: Mathematics--Data processing Type: general – SubjectFull: Quantum computers Type: general – SubjectFull: Geometry, Differential Type: general Titles: – TitleFull: Banach Space Aspects of Frame Theory with Applications Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Deguang Han – PersonEntity: Name: NameFull: Qianfeng Hu – PersonEntity: Name: NameFull: Bei Liu – PersonEntity: Name: NameFull: Rui Liu – PersonEntity: Name: NameFull: Deguang Han – PersonEntity: Name: NameFull: Qianfeng Hu – PersonEntity: Name: NameFull: Bei Liu – PersonEntity: Name: NameFull: Rui Liu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2026 – D: 14 M: 05 Type: profile Y: 2026 Identifiers: – Type: isbn-print Value: 9783032101730 – Type: isbn-electronic Value: 9783032101747 Titles: – TitleFull: Banach Space Aspects of Frame Theory with Applications Type: main |
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