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Beschreibung
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. 74,89 €
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Technische Daten
Erscheinungsdatum
31.08.2018
Sprache
Englisch
EAN
9783319878171
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Graduate Texts in Mathematics
Sonderedition
Nein
Autor
Konrad Schmüdgen
Seitenanzahl
512
Einbandart
Broschiert
Schlagwörter
MSC (2010): 44A60, 14P10, 47A57, Hamburger moment problem, Stieltjes moment problem, Hausdorff moment problem, orthogonal polynomials, Jacobi operators, Nevanlinna parametrization, Weyl circle, Carleman condition, canonical solutions, principal solutions, positive polynomials, Positivstellensätze, moment problem on semi-algebraic sets, Polynomial optimization, Hankel matrix
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBF - Algebra
PBMW - Algebraische Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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