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The Moment Problem:: Graduate Texts in Mathematics

by Konrad Schmdge
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Current price ₹6,347.00
Original price ₹9,764.00
Original price ₹9,764.00
Original price ₹9,764.00
(-35%)
₹6,347.00
Current price ₹6,347.00

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Book cover type: Hardcover
  • ISBN13: 9783319645452
  • Binding: Hardcover
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 512
  • Original Price: EUR 89.99
  • Language: English
  • Edition: N/A
  • Item Weight: 939 grams
  • BISAC Subject(s): Functional Analysis, Algebra / Abstract, and Geometry / Algebraic

From the Back Cover

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.

​Konrad Schmüdgen is professor at the University of Leipzig, Germany. He discovered the strict Positivstellensatz and developed in this manner the interplay between real algebraic geometry and moment problems. He obtained a number of fundamental results on full and truncated multidimensional moment problems.

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