An Introduction to Non-Harmonic Fourier Series. ([2001])

• Record Type: Book
• Further Information: Note: Robert M. Young.
• Other Names: Young, Robert M (Robert Michael), 1944-
• 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
• Edition: Revised first edition
• Publisher Details: San Diego : Academic Press
• Publication Date: 2001
• Extent: 1 online resource
• Subjects: 515.2433; Fourier series
• Languages: English
• ISBNs: 9780080495743; 0080495745
• Related ISBNs: 0127729550
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.