Iterated function systems, moments, and transformations of infinite matrices / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman.
 Publication:
 Providence, Rhode Island : American Mathematical Society, 2011.
 Format/Description:
 Book
1 online resource (105 p.)  Series:
 Memoirs of the American Mathematical Society ; Number 1003.
Memoirs of the American Mathematical Society, 00659266 ; Number 1003  Status/Location:

Loading...
Options
Location  Notes  Your Loan Policy 

Details
 Subjects:
 Infinite matrices.
Transformations (Mathematics).
Iterative methods (Mathematics).  Form/Genre:
 Electronic books.
 Language:
 English
 Contents:
 ""Contents""; ""Preface""; ""Chapter 1. Notation""; ""1.1. Hilbert space notation""; ""1.2. Unbounded operators""; ""1.3. Multiindex notation""; ""1.4. Moments and moment matrices""; ""1.5. Computations with infinite matrices""; ""1.6. Inverses of infinite matrices""; ""Chapter 2. The moment problem""; ""2.1. The moment problem M = M()""; ""2.2. A ParthasarathyKolmogorov approach to the moment problem""; ""2.3. Examples""; ""2.4. Historical notes""; ""Chapter 3. A transformation of moment matrices: the affine case""; ""3.1. Affine maps""
""3.2. IFSs and fixed points of the Hutchinson operator""""3.3. Preserving Hankel matrix structure""; ""Chapter 4. Moment matrix transformation: measurable maps""; ""4.1. Encoding matrix A for ""; ""4.2. Approximation of A with finite matrices""; ""Chapter 5. The KatoFriedrichs operator""; ""5.1. The quadratic form QM""; ""5.2. The closability of QM""; ""5.3. A factorization of the KatoFriedrichs operator""; ""5.4. Kato connection to A matrix""; ""5.5. Examples""; ""Chapter 6. The integral operator of a moment matrix""; ""6.1. The Hilbert matrix""
""6.2. Integral operator for a measure supported on [1,1]""""Chapter 7. Boundedness and spectral properties""; ""7.1. Bounded Kato operators""; ""7.2. Projectionvalued measures""; ""7.3. Spectrum of the Kato operator""; ""7.4. Rank of measures""; ""7.5. Examples""; ""Chapter 8. The moment problem revisited""; ""8.1. The shift operator and three incarnations of symmetry""; ""8.2. Selfadjoint extensions of a shift operator""; ""8.3. Selfadjoint extensions and the moment problem""; ""8.4. Jacobi representations of matrices""
""8.5. The triple recursion relation and extensions to higher dimensions""""8.6. Concrete Jacobi matrices""; ""Acknowledgements""; ""Bibliography""  Notes:
 "September 2011, volume 213, number 1003 (fourth of 5 numbers)."
Includes bibliographical references.
Description based on print version record.  Contributor:
 Kornelson, Keri A., 1967 author.
Shuman, Karen L., 1973 author.  ISBN:
 1470406209