An Introduction to Non-Harmonic Fourier Series, Revised Edition: v. 93 - Hardcover

Young, Robert M.

Hardcover

ISBN 10: 0127729550 ISBN 13: 9780127729558

Publisher: Academic Press, 2001

Synopsis

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.

About this title

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.
|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.

About this edition

• Publisher: Academic Press
• Publication date: 2001
• ISBN 10: 0127729550
• ISBN 13: 9780127729558
• Binding: Hardcover
• Edition number: 2
• Number of pages: 234