An Introduction To Non-Harmonic Fourier Series, Revised Edition

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.

Audience: Junior and senior undergraduate and first-year graduate students in mathematics.

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.

Robert Young was born in New York City in 1944. He received his B.A. from Colby College in 1965 and his Ph.D. from the University of Michigan in 1971. He currently teaches at Oberlin College where he holds the James F. Clark Chair in Mathematics. In addition to his work in nonharmonic Fourier series, he is the author of Excursions in Calculus: An Interplay of the Continuous and the Discrete.