An introduction to nonharmonic Fourier series /:
An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the co...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego :
Academic Press,
©2001.
|
| Ausgabe: | Rev. 1st ed. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations. |
| Beschreibung: | 1 online resource (xiv, 234 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 199-219) and index. |
| ISBN: | 9781429483513 1429483512 9780080495743 0080495745 |
Internformat
MARC
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| 245 | 1 | 3 | |a An introduction to nonharmonic Fourier series / |c Robert M. Young. |
| 250 | |a Rev. 1st ed. | ||
| 260 | |a San Diego : |b Academic Press, |c ©2001. | ||
| 300 | |a 1 online resource (xiv, 234 pages) : |b illustrations | ||
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| 505 | 0 | |a Bases in Banach Spaces -- Schauder Bases; Schauder's Basis for C[a, b]; Orthonormal Bases in Hilbert Space; The Reproducing Kernel; Complete Sequences; The Coefficient Functionals; Duality; Riesz Bases; The Stability of Bases in Banach Spaces; The Stability of Orthonormal Bases in Hilbert Space; ; Entire Functions of Exponential Type; ; The Classical Factorization Theorems -- Weierstrass's Factorization Theorem; Jensen's Formula; Functions of Finite Order; Estimates for Canonical Products; Hadamard's Factorization Theorem; ; Restrictions Along a Line -- The "Phragmen-Lindelof" Method; Carleman's Formula; Integrability on a line; The Paley-Wiener Theorem; The Paley-Wiener Space; ; The Completeness of Sets of Complex Exponentials -; The Trigonometric System; Exponentials Close to the Trigonometric System; A Counterexample; Some Intrinsic Properties of Sets of Complex Exponentials; Stability; Density and the Completeness Radius; ; Interpolation and Bases in Hilbert Space -- Moment Sequences in Hilbert Space; Bessel Sequences and Riesz-Fischer Sequences; Applications to Systems of Complex Exponentials; The Moment Space and Its Relation to Equivalent Sequences; Interpolation in the Paley-Wiener Space: Functions of Sine Type; Interpolation in the Paley-Wiener Space: Stability; The Theory of Frames; The Stability of Nonharmonic Fourier Series; Pointwise Convergence; Notes and Comments; References; List of Special Symbols; Index | |
| 520 | |a An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations. | ||
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| author | Young, Robert M. |
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| contents | Bases in Banach Spaces -- Schauder Bases; Schauder's Basis for C[a, b]; Orthonormal Bases in Hilbert Space; The Reproducing Kernel; Complete Sequences; The Coefficient Functionals; Duality; Riesz Bases; The Stability of Bases in Banach Spaces; The Stability of Orthonormal Bases in Hilbert Space; ; Entire Functions of Exponential Type; ; The Classical Factorization Theorems -- Weierstrass's Factorization Theorem; Jensen's Formula; Functions of Finite Order; Estimates for Canonical Products; Hadamard's Factorization Theorem; ; Restrictions Along a Line -- The "Phragmen-Lindelof" Method; Carleman's Formula; Integrability on a line; The Paley-Wiener Theorem; The Paley-Wiener Space; ; The Completeness of Sets of Complex Exponentials -; The Trigonometric System; Exponentials Close to the Trigonometric System; A Counterexample; Some Intrinsic Properties of Sets of Complex Exponentials; Stability; Density and the Completeness Radius; ; Interpolation and Bases in Hilbert Space -- Moment Sequences in Hilbert Space; Bessel Sequences and Riesz-Fischer Sequences; Applications to Systems of Complex Exponentials; The Moment Space and Its Relation to Equivalent Sequences; Interpolation in the Paley-Wiener Space: Functions of Sine Type; Interpolation in the Paley-Wiener Space: Stability; The Theory of Frames; The Stability of Nonharmonic Fourier Series; Pointwise Convergence; Notes and Comments; References; List of Special Symbols; Index |
| ctrlnum | (OCoLC)166329254 |
| dewey-full | 515/.2433 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Rev. 1st ed. |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn166329254 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:07Z |
| institution | BVB |
| isbn | 9781429483513 1429483512 9780080495743 0080495745 |
| language | English |
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| spelling | Young, Robert M. http://id.loc.gov/authorities/names/n80045732 An introduction to nonharmonic Fourier series / Robert M. Young. Rev. 1st ed. San Diego : Academic Press, ©2001. 1 online resource (xiv, 234 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 199-219) and index. Print version record. Bases in Banach Spaces -- Schauder Bases; Schauder's Basis for C[a, b]; Orthonormal Bases in Hilbert Space; The Reproducing Kernel; Complete Sequences; The Coefficient Functionals; Duality; Riesz Bases; The Stability of Bases in Banach Spaces; The Stability of Orthonormal Bases in Hilbert Space; ; Entire Functions of Exponential Type; ; The Classical Factorization Theorems -- Weierstrass's Factorization Theorem; Jensen's Formula; Functions of Finite Order; Estimates for Canonical Products; Hadamard's Factorization Theorem; ; Restrictions Along a Line -- The "Phragmen-Lindelof" Method; Carleman's Formula; Integrability on a line; The Paley-Wiener Theorem; The Paley-Wiener Space; ; The Completeness of Sets of Complex Exponentials -; The Trigonometric System; Exponentials Close to the Trigonometric System; A Counterexample; Some Intrinsic Properties of Sets of Complex Exponentials; Stability; Density and the Completeness Radius; ; Interpolation and Bases in Hilbert Space -- Moment Sequences in Hilbert Space; Bessel Sequences and Riesz-Fischer Sequences; Applications to Systems of Complex Exponentials; The Moment Space and Its Relation to Equivalent Sequences; Interpolation in the Paley-Wiener Space: Functions of Sine Type; Interpolation in the Paley-Wiener Space: Stability; The Theory of Frames; The Stability of Nonharmonic Fourier Series; Pointwise Convergence; Notes and Comments; References; List of Special Symbols; Index An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations. Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Séries de Fourier. MATHEMATICS Infinity. bisacsh Fourier series fast Print version: Young, Robert M. Introduction to nonharmonic Fourier series. Rev. 1st ed. San Diego : Academic Press, ©2001 0127729550 9780127729558 (DLC) 00104370 (OCoLC)44915763 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=195200 Volltext |
| spellingShingle | Young, Robert M. An introduction to nonharmonic Fourier series / Bases in Banach Spaces -- Schauder Bases; Schauder's Basis for C[a, b]; Orthonormal Bases in Hilbert Space; The Reproducing Kernel; Complete Sequences; The Coefficient Functionals; Duality; Riesz Bases; The Stability of Bases in Banach Spaces; The Stability of Orthonormal Bases in Hilbert Space; ; Entire Functions of Exponential Type; ; The Classical Factorization Theorems -- Weierstrass's Factorization Theorem; Jensen's Formula; Functions of Finite Order; Estimates for Canonical Products; Hadamard's Factorization Theorem; ; Restrictions Along a Line -- The "Phragmen-Lindelof" Method; Carleman's Formula; Integrability on a line; The Paley-Wiener Theorem; The Paley-Wiener Space; ; The Completeness of Sets of Complex Exponentials -; The Trigonometric System; Exponentials Close to the Trigonometric System; A Counterexample; Some Intrinsic Properties of Sets of Complex Exponentials; Stability; Density and the Completeness Radius; ; Interpolation and Bases in Hilbert Space -- Moment Sequences in Hilbert Space; Bessel Sequences and Riesz-Fischer Sequences; Applications to Systems of Complex Exponentials; The Moment Space and Its Relation to Equivalent Sequences; Interpolation in the Paley-Wiener Space: Functions of Sine Type; Interpolation in the Paley-Wiener Space: Stability; The Theory of Frames; The Stability of Nonharmonic Fourier Series; Pointwise Convergence; Notes and Comments; References; List of Special Symbols; Index Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Séries de Fourier. MATHEMATICS Infinity. bisacsh Fourier series fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051090 |
| title | An introduction to nonharmonic Fourier series / |
| title_auth | An introduction to nonharmonic Fourier series / |
| title_exact_search | An introduction to nonharmonic Fourier series / |
| title_full | An introduction to nonharmonic Fourier series / Robert M. Young. |
| title_fullStr | An introduction to nonharmonic Fourier series / Robert M. Young. |
| title_full_unstemmed | An introduction to nonharmonic Fourier series / Robert M. Young. |
| title_short | An introduction to nonharmonic Fourier series / |
| title_sort | introduction to nonharmonic fourier series |
| topic | Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Séries de Fourier. MATHEMATICS Infinity. bisacsh Fourier series fast |
| topic_facet | Fourier series. Séries de Fourier. MATHEMATICS Infinity. Fourier series |
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