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Zusatztext "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." ---Vladimir L. Makarov, Zentralblatt MATH Informationen zum Autor Barry Simon Klappentext "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." --Doron 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." --Andrei Martínez-Finkelshtein, University of Almería, Spain Zusammenfassung Presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gbor Szego's classic 1915 theorem and its 1920 extension. This title emphasizes necessary and sufficient conditions, and provides mathematical background.
