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[null,"1.","Record Nr.",null,"UNINA9910480116003321"]
[null,null,"Autore",null,"Jørgensen Palle E. T. <1947->"]
[null,null,"Titolo",null,"Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2011"]
[{"$nulls":4},"©2011"]
[null,null,"ISBN",null,"1-4704-0620-9"]
[null,null,"Descrizione fisica",null,"1 online resource (105 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 1003"]
[null,null,"Disciplina",null,"512.9/434"]
[null,null,"Soggetti",null,"Infinite matrices"]
[{"$nulls":4},"Transformations (Mathematics)"]
[{"$nulls":4},"Iterative methods (Mathematics)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"September 2011, volume 213, number 1003 (fourth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Preface\"\"; \"\"Chapter 1. Notation\"\"; \"\"1.1. Hilbert space notation\"\"; \"\"1.2. Unbounded operators\"\"; \"\"1.3. Multi-index 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 Parthasarathy-Kolmogorov 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\"\""]
[{"$nulls":4},"\"\"3.2. IFSs and fixed points of the Hutchinson operator\"\"\"\"3.3. Preserving Hankel matrix structure\"\"; \"\"Chapter 4. Moment matrix transformation: measurable maps\"\"; \"\"4.1. Encoding matrix A for \"\"; \"\"4.2. Approximation of A with finite matrices\"\"; \"\"Chapter 5. The Kato-Friedrichs operator\"\"; \"\"5.1. The quadratic form QM\"\"; \"\"5.2. The closability of QM\"\"; \"\"5.3. A factorization of the Kato-Friedrichs operator\"\"; \"\"5.4. Kato connection to A matrix\"\"; \"\"5.5. Examples\"\"; \"\"Chapter 6. The integral operator of a moment matrix\"\"; \"\"6.1. The Hilbert matrix\"\""]
[{"$nulls":4},"\"\"6.2. Integral operator for a measure supported on [-1,1]\"\"\"\"Chapter 7. Boundedness and spectral properties\"\"; \"\"7.1. Bounded Kato operators\"\"; \"\"7.2. Projection-valued measures\"\"; \"\"7.3. Spectrum of the Kato operator\"\"; \"\"7.4. Rank of measures\"\"; \"\"7.5. Examples\"\"; \"\"Chapter "]
[{"$nulls":4},"8. The moment problem revisited\"\"; \"\"8.1. The shift operator and three incarnations of symmetry\"\"; \"\"8.2. Self-adjoint extensions of a shift operator\"\"; \"\"8.3. Self-adjoint extensions and the moment problem\"\"; \"\"8.4. Jacobi representations of matrices\"\""]
[{"$nulls":4},"\"\"8.5. The triple recursion relation and extensions to higher dimensions\"\"\"\"8.6. Concrete Jacobi matrices\"\"; \"\"Acknowledgements\"\"; \"\"Bibliography\"\""]