Toeplitz Matrices and Operators

Rezensionen / Stimmen

'The author's love for all facets of the topic and his distinctive sense for culture and history resulted in a book of unique charm. The reader will enjoy a captivating journey from the historical roots up to the latest achievements of a fascinating field of concrete operator theory. An excellent source and a true treat for both beginners and professionals!' Albrecht Boettcher, Technische Universitaet Chemnitz, Germany 'This is a detailed and clearly-written treatment of Toeplitz operators and Toeplitz matrices. The subject is strongly motivated by applications, and an extensive historical background is provided. The book should be of great interest to both students and experts in the subject. It contains several useful appendices, giving the necessary background material on functional analysis and complex analysis.' Jonathan Partington, University of Leeds 'The monograph provides a concise and comprehensive treatment of the beautiful theory of Toeplitz operators and their deep connections with other topics in Analysis, as well as applications. Written by a world's leading expert, it is precise and at the same time accessible. Appendices make it self-contained, and selected biographical sketches are read as a breathtaking historical novel. A real treat for everyone interested in Operator Theory and its developments, both classical and recent.' Ilya Spitkovsky, New York University Abu Dhabi 'This book covers the history of Toeplitz forms and Wiener-Hopf integral operators and their applications in harmonic and functional analysis, interpolated with personal biographies of the important mathematical theorists who contributed to their development ... this book will surely appeal to all who care for the 'dramaturgy of mathematics'.' J. A. Bakal, Choice 'This is an extremely thorough introduction to the theory of Toeplitz matrices (and their siblings the Hankel matrices; known collectively by the portmanteau Ha-plitz). It provides most of the needed background, and probably could be used for very advanced undergraduates but seems more like a second-year graduate text.' Allen Stenger, MAA Reviews 'I strongly recommend it for both students and experts. The unique style of the book will captivate the reader.' Maria T. Nowak, MathSciNet