An introduction to nonharmonic Fourier series / Robert M. Young.

Format:

Book

Author/Creator:

Young, Robert M.

Series:

Pure and applied mathematics

Language:

English

Subjects (All):

Fourier series.

Physical Description:

1 online resource (249 p.)

Edition:

Rev. 1st. ed.

Place of Publication:

San Diego : Academic Press, c2001.

Language Note:

English

Summary:

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.

Contents:

Cover; Contents; Preface to the Revised First Edition; Preface to the First Edition; Chapter 1. Bases in Banach Spaces; 1 Schauder Bases; 2 Schauder's Basis for C[a, b]; 3 Orthonormal Bases in Hilbert Space; 4 The Reproducing Kernel; 5 Complete Sequences; 6 The Coefficient Functionals; 7 Duality; 8 Riesz Bases; 9 The Stability of Bases in Banach Spaces; 10 The Stability of Orthonormal Bases in Hilbert Space; Chapter 2. Entire Functions of Exponential Type; Part one. The Classical Factorization Theorems; 1 Weierstrass's Factorization Theorem; 2 Jensen's Formula; 3 Functions of Finite Order

1 Moment Sequences in Hilbert Space2 Bessel Sequences and Riesz-Fischer Sequences; 3 Applications to Systems of Complex Exponentials; 4 The Moment Space and Its Relation to Equivalent Sequences; 5 Interpolation in the Paley-Wiener Space: Functions of Sine Type; 6 Interpolation in the Paley-Wiener Space: Stability; 7 The Theory of Frames; 8 The Stability of Nonharmonic Fourier Series; 9 Pointwise Convergence; Notes and Comments; References; List of Special Symbols; Author Index; Subject Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 199-219) and index.

ISBN:

1-281-01226-2

9786611012267

0-08-049574-5

OCLC:

437182107