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Record Nr. |
UNINA9910480116003321 |
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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) |
Electronic books. |
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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 |
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operators""; ""7.2. Projection-valued 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. Self-adjoint extensions of a shift operator""; ""8.3. Self-adjoint 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"" |
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2. |
Record Nr. |
UNINA9910159402503321 |
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Autore |
Harris Michael |
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Titolo |
Medical statistics made easy / / Michael Harris and Gordon Taylor |
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Pubbl/distr/stampa |
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Banbury, England : , : Scion, , 2014 |
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©2014 |
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ISBN |
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1-907904-03-4 |
1-907904-45-X |
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Edizione |
[Third edition.] |
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Descrizione fisica |
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1 online resource (xii, 116 pages) : illustrations |
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Disciplina |
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Soggetti |
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Medical statistics |
Biometry |
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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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Includes index. |
Description based upon print version of record. |
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Sommario/riassunto |
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"[This book] continues to provide medical and healthcare students and professionals with the easiest possible explanations of the key statistical techniques used throughout medical literature. Each statistical technique is graded for ease of use and frequency of appearance in the mainstream medical journals. Featuring a completely revised "Statistics at work" section, this new edition retains a consistent, concise and user-friendly format." --- from back of physical book. |
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