LEADER 04532nam 2200613 450 001 9910808056003321 005 20170822122859.0 010 $a1-4704-1957-2 035 $a(CKB)3150000000020208 035 $a(EBL)3114329 035 $a(SSID)ssj0001384043 035 $a(PQKBManifestationID)11786523 035 $a(PQKBTitleCode)TC0001384043 035 $a(PQKBWorkID)11327360 035 $a(PQKB)11330527 035 $a(MiAaPQ)EBC3114329 035 $a(RPAM)18064723 035 $a(PPN)197102697 035 $a(EXLCZ)993150000000020208 100 $a20150417h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aOperator methods in wavelets, tilings, and frames /$fVeronika Furst, Keri A. Kornelson, Eric S. Weber, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$dİ2014 215 $a1 online resource (177 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$v626 300 $aDescription based upon print version of record. 311 $a1-4704-1040-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""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"" 327 $a""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 a???A?²( )""; ""References""; ""Decompositions of generalized wavelet representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Direct Integral Decompositions"" 327 $a""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"" 327 $a""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 Plancherela???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"" 327 $a""5. Conclusions and future work""""6. Appendix""; ""Acknowledgment""; ""References""; ""Dynamical sampling in infinite dimensions with and without a forcing term""; ""1. Introduction""; ""2. Dynamical sampling in infinite dimensions""; ""3. Dynamical Sampling with a Forcing Term""; ""References""; ""Back Cover"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v626. 606 $aFrames (Combinatorial analysis) 606 $aWavelets (Mathematics) 615 0$aFrames (Combinatorial analysis) 615 0$aWavelets (Mathematics) 676 $a511/.6 702 $aFurst$b Veronika$f1979- 702 $aKornelson$b Keri A.$f1967- 702 $aWeber$b Eric S.$f1972- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910808056003321 996 $aOperator methods in wavelets, tilings, and frames$93939385 997 $aUNINA