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The Resource The moment problem, Konrad Schmüdgen, (electronic book)

The moment problem, Konrad Schmüdgen, (electronic book)

Label
The moment problem
Title
The moment problem
Statement of responsibility
Konrad Schmüdgen
Creator
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Schmüdgen, Konrad
Dewey number
515/.72
Index
index present
LC call number
QA432
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Graduate texts in mathematics,
Series volume
277
http://library.link/vocab/subjectName
Moment problems (Mathematics)
Label
The moment problem, Konrad Schmüdgen, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface and Overview -- 1 Integral representations of linear functionals -- 2 Moment problems on abelian *-semigroups -- Part I The one dimensional moment problem -- 3 One dimensional moment problems on intervals: existence -- 4 One dimensional moment problems: determinacy -- 5 Orthogonal polynomials and Jacobi operators -- 6 The operator-theoretic approach to the Hamburger moment problem -- 7 The indeterminate Hamburger moment problem -- 8 The operator-theoretic approach to the Stieltjes moment problem -- Part II The one dimensional truncated moment problem -- 9 The one-dimensional truncated Hamburger and Stieltjes moment problems -- 10 The one-dimensional truncated moment problem on a bounded interval -- 11 The moment problem on the unit circle -- Part III The multidimensional moment problem -- 12 The moment problem on compact semi-algebraic sets -- 13 The moment problem on closed semi-algebraic sets: existence -- 14 The multidimensional moment problem: determinacy -- 15 The complex moment problem -- 16 Semidefinite programming and polynomial optimization -- Part IV The multidimensional truncated moment problem -- 17 Multidimensional truncated moment problems: existence criteria -- 18 Multidimensional truncated moment problems: basic concepts and special topics -- 19 The truncated moment problem for homogeneous polynomials
Dimensions
unknown
Extent
1 online resource (xxiii, 512 pages)
File format
unknown
Form of item
online
Isbn
9783319645469
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-64546-9
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)1012401036
  • on1012401036
Label
The moment problem, Konrad Schmüdgen, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface and Overview -- 1 Integral representations of linear functionals -- 2 Moment problems on abelian *-semigroups -- Part I The one dimensional moment problem -- 3 One dimensional moment problems on intervals: existence -- 4 One dimensional moment problems: determinacy -- 5 Orthogonal polynomials and Jacobi operators -- 6 The operator-theoretic approach to the Hamburger moment problem -- 7 The indeterminate Hamburger moment problem -- 8 The operator-theoretic approach to the Stieltjes moment problem -- Part II The one dimensional truncated moment problem -- 9 The one-dimensional truncated Hamburger and Stieltjes moment problems -- 10 The one-dimensional truncated moment problem on a bounded interval -- 11 The moment problem on the unit circle -- Part III The multidimensional moment problem -- 12 The moment problem on compact semi-algebraic sets -- 13 The moment problem on closed semi-algebraic sets: existence -- 14 The multidimensional moment problem: determinacy -- 15 The complex moment problem -- 16 Semidefinite programming and polynomial optimization -- Part IV The multidimensional truncated moment problem -- 17 Multidimensional truncated moment problems: existence criteria -- 18 Multidimensional truncated moment problems: basic concepts and special topics -- 19 The truncated moment problem for homogeneous polynomials
Dimensions
unknown
Extent
1 online resource (xxiii, 512 pages)
File format
unknown
Form of item
online
Isbn
9783319645469
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-64546-9
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)1012401036
  • on1012401036

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