Analysis of Linear Integral Equations

This book is designed to present a comprehensive treatment of the theory and analysis of linear integral equations. As such it is intended primarily for applied mathematicians, mathematical physicists, and others with strong mathematical interests. It is anticipated that the book will appeal to student and researcher alike. For the former it should provide a thorough grounding in fundamentals while hopefully awakening in him an appreciation of the scope and beauty of the subject matter; for the latter it should furnish a valuable resource (with an extensive bibliography) in which a significant body of extant knowledge is delineated and frontiers probed.
The format and content of the book can be traced to many sources. Courses and research at Stanford University and extended lecture series on several occasions at Bell Telephone Laboratories have been fundamental to the particular selection of material to be covered as well as to the approach taken and emphasis given in various parts of the final presentation. The advice of students and colleagues alike has also occasioned any number of significant inclusions and/or alterations. In this latter regard, it is a pleasure to acknowledge Dale Swann's special contributions to Chapters 15 and
16. In a series of unpublished manuscripts beginning in 1965, Swann suggested the foundations for much of the presentation as it appears in those chapters. It seems appropriate here especially to recognize also the authors of several earlier accounts on the general subject of integral equations, notably Riesz and Sz.-Nagy, Smithies, and Mikhlin, lest the various acknowledgments appearing in the text fail to convey sufficiently the impact that these men's work has undoubtedly had on our treatment of the subject matter.