The Moment Problem

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Algebra
Cover of the book The Moment Problem by Konrad Schmüdgen, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Konrad Schmüdgen ISBN: 9783319645469
Publisher: Springer International Publishing Publication: November 9, 2017
Imprint: Springer Language: English
Author: Konrad Schmüdgen
ISBN: 9783319645469
Publisher: Springer International Publishing
Publication: November 9, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Characterization of Zeolite-Based Coatings for Adsorption Heat Pumps by Konrad Schmüdgen
Cover of the book Bio-based Polyols and Polyurethanes by Konrad Schmüdgen
Cover of the book Sustainable Energy Resources and Economics in Iceland and Greenland by Konrad Schmüdgen
Cover of the book Brain-Computer Interface Research by Konrad Schmüdgen
Cover of the book Science and Technology by Konrad Schmüdgen
Cover of the book Musculoskeletal Ultrasound in Rheumatology Review by Konrad Schmüdgen
Cover of the book Cycles in the UK Housing Economy by Konrad Schmüdgen
Cover of the book Working with the American Community Survey in R by Konrad Schmüdgen
Cover of the book Divergence and Convergence of Automobile Fuel Economy Regulations by Konrad Schmüdgen
Cover of the book Modeling of Carbon Nanotubes, Graphene and their Composites by Konrad Schmüdgen
Cover of the book Practices and Tools for Servitization by Konrad Schmüdgen
Cover of the book Synergetics of Molecular Systems by Konrad Schmüdgen
Cover of the book Why We Live in Hierarchies? by Konrad Schmüdgen
Cover of the book Intelligent Human Computer Interaction by Konrad Schmüdgen
Cover of the book Thomas Paine and the French Revolution by Konrad Schmüdgen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy