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An Introduction to Non-Harmonic Fourier Series, Revised Edition, 93, Second Edition (v. 93)
 
 
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An Introduction to Non-Harmonic Fourier Series, Revised Edition, 93, Second Edition (v. 93) [Hardcover]

Robert M. Young (Author)

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Book Description

May 30, 2001 0127729550 978-0127729558 Revised
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.

Editorial Reviews

Review

From Book News, Inc.
The theory of nonharmonic Fourier series is concerned with the completeness and expansion properties of sets of complex exponential functions. This text for graduate students and mathematicians provides an introduction to some of the classical and modern theories within this broad field. Young (mathematics, Oberlin College) discusses such topics as the stability of bases in Banach spaces, estimates for canonical products, and moment sequences in Hilbert space.Book News, Inc.®, Portland, OR

From the Back Cover

The theory of nonharmonic Fourier series is concerned with the completeness and expansion properties of sets of complex exponential functions. Its origins, which are classical in spirit, lie in the celebrated works of Paley and Wiener (Fourier Transforms in the Complex Domain) and Levinson (Gap and Density Theorems).

This book is an account of both the classical and modern theories and its
underlying theme is the elegant interplay among the various parts of
analysis. Designed primarily for the graduate student or mathematician who
is approaching the subject for the first time, its aim is to provide a unified and self-contained introduction to a rich and multifaceted field, not an
exhaustive account of all that is known.

The new edition brings the original work up to date.

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Inside This Book (learn more)
First Sentence:
Let X be an infinite-dimensional Banach space over the field of real or complex numbers. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
completeness radius, upper uniform density, exponential type zero, interpolating sequence, trigonometric system, biorthogonal sequence, trigonometric moment problem, sine type, biorthogonal expansions, bounded invertible operator, canonical product, arbitrarily large radius, closed subspace spanned, unconditional bases, complete orthonormal sequence, coefficient functionals, arbitrary orthonormal basis, unconditional basis, cardinal series, entire function, symmetric sequence, exponential bases, closed linear span, separated sequence, suggested proof
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