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.
- Limba : Engleza
- Cuprins : 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
- Data Publicarii : 23 May 2001
- Editie : 2 Rev ed
- Format : Hardback
- Numar pagini : 234
- ISBN : 9780127729558