📖 The Moment Problem
Saturday, October 13, 2018 by dev
The Moment Problem
By:Konrad Schmüdgen
Published on 2017-11-09 by Springer
This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.
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Book ID of The Moment Problem's Books is nu09DwAAQBAJ, Book which was written byKonrad Schmüdgenhave ETAG "17vGlWN68hY"
Book which was published by Springer since 2017-11-09 have ISBNs, ISBN 13 Code is 9783319645469 and ISBN 10 Code is 3319645463
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