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Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
| Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman |
| Autore | Jørgensen Palle E. T. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 512.9/434 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite matrices
Transformations (Mathematics) Iterative methods (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0620-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910480116003321 |
Jørgensen Palle E. T. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
| Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman |
| Autore | Jørgensen Palle E. T. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 512.9/434 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite matrices
Transformations (Mathematics) Iterative methods (Mathematics) |
| ISBN | 1-4704-0620-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910788866703321 |
|
Jørgensen Palle E. T. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
| Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman |
| Autore | Jørgensen Palle E. T. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 512.9/434 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite matrices
Transformations (Mathematics) Iterative methods (Mathematics) |
| ISBN | 1-4704-0620-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910819084503321 |
|
Jørgensen Palle E. T. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors
| Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (177 p.) |
| Disciplina | 511/.6 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Frames (Combinatorial analysis)
Wavelets (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1957-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Participants""; ""Phase retrieval by vectors and projections""; ""1. INTRODUCTION""; ""2. PHASE RETRIEVAL BY VECTORS""; ""3. PHASE RETRIEVAL BY PROJECTIONS""; ""References""; ""Scalable frames and convex geometry""; ""1. Introduction""; ""2. Preliminaries""; ""3. Scalable Frames and Convex Polytopes""; ""4. Topology of the Set of Scalable Frames""; ""ACKNOWLEDGMENTS""; ""References""; ""Dilations of frames, operator-valued measures and bounded linear maps""; ""1. Introduction""; ""2. Frames, Framings, and Operator-Valued Measures""
""3. Dilations of Operator-Valued Measures""""4. Dilations of Bounded Linear Maps""; ""5. Some Remarks and Problems""; ""References""; ""Images of the continuous wavelet transform""; ""1. Introduction""; ""2. General notations and definitions""; ""3. Wavelets and square-integrable representations""; ""4. Inside _{\overline{ }}( ) for an irreducible ""; ""5. The _{ } as subspaces of â??²( )""; ""References""; ""Decompositions of generalized wavelet representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Direct Integral Decompositions"" ""4. Irreducibility of the Fiber Representations""""Acknowledgment""; ""References""; ""Exponential splines of complex order""; ""1. Preliminaries on Exponential Splines""; ""2. Brief Review of Polynomial and Exponential B-Splines""; ""3. Polynomial Splines of Complex Order""; ""4. Exponential Splines of Complex Order""; ""5. Summary and Further Work""; ""References""; ""Local translations associated to spectral sets""; ""1. Introduction""; ""2. Local translations""; ""3. Examples""; ""References""; ""Additive spectra of the 1/4 Cantor measure""; ""1. Introduction""; ""2. Background"" ""3. Isometries""""4. Spectral function decompositions""; ""Acknowledgements""; ""References""; ""Necessary density conditions for sampling and interpolation in de Branges spaces""; ""1. Introduction""; ""2. Homogeneous Approximation Property""; ""3. Necessary Conditions for Sampling and Interpolating""; ""4. The Plancherelâ€?Polya Inequality""; ""References""; ""Dynamical sampling in hybrid shift invariant spaces""; ""1. Introduction""; ""2. Constructing a hybrid shift invariant space""; ""3. Dynamical sampling in hybrid shift invariant spaces""; ""4. Main results"" ""5. Conclusions and future work""""6. Appendix""; ""Acknowledgment""; ""References""; ""Dynamical sampling in infinite dimensions with and without a forcing term""; ""1. Introduction""; ""2. Dynamical sampling in infinite dimensions""; ""3. Dynamical Sampling with a Forcing Term""; ""References""; ""Back Cover"" |
| Record Nr. | UNINA-9910478913703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors
| Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (177 p.) |
| Disciplina | 511/.6 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Frames (Combinatorial analysis)
Wavelets (Mathematics) |
| ISBN | 1-4704-1957-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Participants""; ""Phase retrieval by vectors and projections""; ""1. INTRODUCTION""; ""2. PHASE RETRIEVAL BY VECTORS""; ""3. PHASE RETRIEVAL BY PROJECTIONS""; ""References""; ""Scalable frames and convex geometry""; ""1. Introduction""; ""2. Preliminaries""; ""3. Scalable Frames and Convex Polytopes""; ""4. Topology of the Set of Scalable Frames""; ""ACKNOWLEDGMENTS""; ""References""; ""Dilations of frames, operator-valued measures and bounded linear maps""; ""1. Introduction""; ""2. Frames, Framings, and Operator-Valued Measures""
""3. Dilations of Operator-Valued Measures""""4. Dilations of Bounded Linear Maps""; ""5. Some Remarks and Problems""; ""References""; ""Images of the continuous wavelet transform""; ""1. Introduction""; ""2. General notations and definitions""; ""3. Wavelets and square-integrable representations""; ""4. Inside _{\overline{ }}( ) for an irreducible ""; ""5. The _{ } as subspaces of â??²( )""; ""References""; ""Decompositions of generalized wavelet representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Direct Integral Decompositions"" ""4. Irreducibility of the Fiber Representations""""Acknowledgment""; ""References""; ""Exponential splines of complex order""; ""1. Preliminaries on Exponential Splines""; ""2. Brief Review of Polynomial and Exponential B-Splines""; ""3. Polynomial Splines of Complex Order""; ""4. Exponential Splines of Complex Order""; ""5. Summary and Further Work""; ""References""; ""Local translations associated to spectral sets""; ""1. Introduction""; ""2. Local translations""; ""3. Examples""; ""References""; ""Additive spectra of the 1/4 Cantor measure""; ""1. Introduction""; ""2. Background"" ""3. Isometries""""4. Spectral function decompositions""; ""Acknowledgements""; ""References""; ""Necessary density conditions for sampling and interpolation in de Branges spaces""; ""1. Introduction""; ""2. Homogeneous Approximation Property""; ""3. Necessary Conditions for Sampling and Interpolating""; ""4. The Plancherelâ€?Polya Inequality""; ""References""; ""Dynamical sampling in hybrid shift invariant spaces""; ""1. Introduction""; ""2. Constructing a hybrid shift invariant space""; ""3. Dynamical sampling in hybrid shift invariant spaces""; ""4. Main results"" ""5. Conclusions and future work""""6. Appendix""; ""Acknowledgment""; ""References""; ""Dynamical sampling in infinite dimensions with and without a forcing term""; ""1. Introduction""; ""2. Dynamical sampling in infinite dimensions""; ""3. Dynamical Sampling with a Forcing Term""; ""References""; ""Back Cover"" |
| Record Nr. | UNINA-9910788255703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors
| Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (177 p.) |
| Disciplina | 511/.6 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Frames (Combinatorial analysis)
Wavelets (Mathematics) |
| ISBN | 1-4704-1957-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Participants""; ""Phase retrieval by vectors and projections""; ""1. INTRODUCTION""; ""2. PHASE RETRIEVAL BY VECTORS""; ""3. PHASE RETRIEVAL BY PROJECTIONS""; ""References""; ""Scalable frames and convex geometry""; ""1. Introduction""; ""2. Preliminaries""; ""3. Scalable Frames and Convex Polytopes""; ""4. Topology of the Set of Scalable Frames""; ""ACKNOWLEDGMENTS""; ""References""; ""Dilations of frames, operator-valued measures and bounded linear maps""; ""1. Introduction""; ""2. Frames, Framings, and Operator-Valued Measures""
""3. Dilations of Operator-Valued Measures""""4. Dilations of Bounded Linear Maps""; ""5. Some Remarks and Problems""; ""References""; ""Images of the continuous wavelet transform""; ""1. Introduction""; ""2. General notations and definitions""; ""3. Wavelets and square-integrable representations""; ""4. Inside _{\overline{ }}( ) for an irreducible ""; ""5. The _{ } as subspaces of â??²( )""; ""References""; ""Decompositions of generalized wavelet representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Direct Integral Decompositions"" ""4. Irreducibility of the Fiber Representations""""Acknowledgment""; ""References""; ""Exponential splines of complex order""; ""1. Preliminaries on Exponential Splines""; ""2. Brief Review of Polynomial and Exponential B-Splines""; ""3. Polynomial Splines of Complex Order""; ""4. Exponential Splines of Complex Order""; ""5. Summary and Further Work""; ""References""; ""Local translations associated to spectral sets""; ""1. Introduction""; ""2. Local translations""; ""3. Examples""; ""References""; ""Additive spectra of the 1/4 Cantor measure""; ""1. Introduction""; ""2. Background"" ""3. Isometries""""4. Spectral function decompositions""; ""Acknowledgements""; ""References""; ""Necessary density conditions for sampling and interpolation in de Branges spaces""; ""1. Introduction""; ""2. Homogeneous Approximation Property""; ""3. Necessary Conditions for Sampling and Interpolating""; ""4. The Plancherelâ€?Polya Inequality""; ""References""; ""Dynamical sampling in hybrid shift invariant spaces""; ""1. Introduction""; ""2. Constructing a hybrid shift invariant space""; ""3. Dynamical sampling in hybrid shift invariant spaces""; ""4. Main results"" ""5. Conclusions and future work""""6. Appendix""; ""Acknowledgment""; ""References""; ""Dynamical sampling in infinite dimensions with and without a forcing term""; ""1. Introduction""; ""2. Dynamical sampling in infinite dimensions""; ""3. Dynamical Sampling with a Forcing Term""; ""References""; ""Back Cover"" |
| Record Nr. | UNINA-9910808056003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||