04532nam 2200613 450 991080805600332120170822122859.01-4704-1957-2(CKB)3150000000020208(EBL)3114329(SSID)ssj0001384043(PQKBManifestationID)11786523(PQKBTitleCode)TC0001384043(PQKBWorkID)11327360(PQKB)11330527(MiAaPQ)EBC3114329(RPAM)18064723(PPN)197102697(EXLCZ)99315000000002020820150417h20142014 uy 0engur|n|---|||||txtccrOperator methods in wavelets, tilings, and frames /Veronika Furst, Keri A. Kornelson, Eric S. Weber, editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (177 p.)Contemporary Mathematics,1098-3627 ;626Description based upon print version of record.1-4704-1040-0 Includes bibliographical references at the end of each chapters.""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""Contemporary mathematics (American Mathematical Society) ;626.Frames (Combinatorial analysis)Wavelets (Mathematics)Frames (Combinatorial analysis)Wavelets (Mathematics)511/.6Furst Veronika1979-Kornelson Keri A.1967-Weber Eric S.1972-MiAaPQMiAaPQMiAaPQBOOK9910808056003321Operator methods in wavelets, tilings, and frames3939385UNINA