The Moment problem / Konrad Schmüdgen.

Format:

Book

Author/Creator:

Schmüdgen, Konrad, author.

Series:

Graduate texts in mathematics ; 277.

Graduate texts in mathematics, 0072-5285 ; 277

Language:

English

Subjects (All):

Moment problems (Mathematics).

Physical Description:

xii, 535 pages : illustrations, portraits ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer International, [2017]

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.

Notes:

Includes bibliographical references (pages 517-526) and index.

ISBN:

9783319645452

3319645455

OCLC:

992786755