The Moment Problem
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 tr...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Σειρά: | Graduate Texts in Mathematics,
277 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
