Operator methods in wavelets, tilings, and frames / / Veronika Furst, Keri A. Kornelson, Eric S. Weber, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• Descrizione fisica: 1 online resource (177 p.)
• Disciplina: 511/.6
• Soggetto topico: Frames (Combinatorial analysis); Wavelets (Mathematics)
• Persona (resp. second.): FurstVeronika <1979->; KornelsonKeri A. <1967->; WeberEric S. <1972->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• 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""
• Titolo autorizzato: Operator methods in wavelets, tilings, and frames
• ISBN: 1-4704-1957-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910808056003321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 626.