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"Simon can write books faster than most people can read them. The quality is very high and the level of scholarship is enormous. . . . The book is recommended to everyone who wants to broaden his or her knowledge about recent developments in orthogonal polynomials. It is a pleasure to see that many areas of mathematics are tied together."鈥擟hristian Berg, Journal of Approximation Theory

"This book is a magnificent compilation of results of which the author can be justifiably proud. It can be used on many levels, running from a reference book for experts to a manual for beginners on what one really needs to know to pursue research in spectral theory. The latter objective is enhanced by the inclusion of tutorial sections on a variety of prerequisites, which also makes the individual chapters suitable for seminars and reading projects. It is also an excellent source of examples."鈥擧arry Dym, Mathematical Reviews

"This book can be very useful for mathematicians who are familiar with the fields of analysis such as measure theory, orthogonal polynomials, and application of the theory of matrices and bounded linear operators."鈥擵ladimir L. Makarov, Zentralblatt MATH

"This book is an important one. Barry Simon has revolutionized the study of orthogonal polynomials since he entered the field. Many of the fundamental advances he and his students pioneered appear here in book form for the first time. There is no question of his profound scholarship and expertise on this topic."鈥擠oron Lubinsky, Georgia Institute of Technology

"Simon is a leading specialist in orthogonal polynomials and spectral theory, with a very wide mathematical and physical background. This book contains a huge amount of new material found only in research papers. Those interested in orthogonal polynomials will find here many new results and techniques, while specialists in spectral theory will discover deep connections with topics from classical analysis and other areas."鈥擜ndrei Mart铆nez-Finkelshtein, University of Almer铆a, Spain