The moment problem. (2017)

• Record Type: Book
• Further Information: Note: Konrad Schmüdgen.
• Authors: Schmüdgen, Konrad
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xxiii, 512 pages), illustrations
• Subjects: 515/.72; Mathematics; Moment problems (Mathematics); Moment problems (Mathematics); Mathematics -- Functional Analysis; Mathematics -- Algebra -- Abstract; Mathematics -- Geometry -- Algebraic; Functional analysis & transforms; Algebra; Algebraic geometry; Functional analysis; Operator theory; Field theory (Physics); Geometry, algebraic; Electronic books
• Languages: English
• ISBNs: 9783319645469; 3319645463
• Related ISBNs: 9783319645452; 3319645455
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 20, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.