An Introduction To Nonharmonic Fourier Series

Since the publication of the first edition in the Pure and Applied Mathematics series this book bas become the standard text for courses on nonharmonic Fourier series. 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.