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Record Nr. |
UNINA9910788866703321 |
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Autore |
Jørgensen Palle E. T. <1947-> |
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Titolo |
Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (105 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 1003 |
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Disciplina |
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Soggetti |
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Infinite matrices |
Transformations (Mathematics) |
Iterative methods (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 2011, volume 213, number 1003 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
""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"" |
""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 |
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