LEADER 03310nam 2200625 450 001 9910788841603321 005 20170822144517.0 010 $a1-4704-0288-2 035 $a(CKB)3360000000464881 035 $a(EBL)3114367 035 $a(SSID)ssj0000973529 035 $a(PQKBManifestationID)11581306 035 $a(PQKBTitleCode)TC0000973529 035 $a(PQKBWorkID)10959905 035 $a(PQKB)10436064 035 $a(MiAaPQ)EBC3114367 035 $a(RPAM)11997915 035 $a(PPN)195415825 035 $a(EXLCZ)993360000000464881 100 $a20000505d2000 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFrames, bases, and group representations /$fDeguang Han, David R. Larson 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2000. 215 $a1 online resource (111 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 697 300 $a"September 2000, volume 147, number 697 (first of 4 numbers)." 311 $a0-8218-2067-2 320 $aIncludes bibliographical references (pages 93-94). 327 $a""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Basic Theory for Frames""; ""1.1. A Dilation Viewpoint on Frames""; ""1.2. The Canonical Dual Frame""; ""1.3. Alternate Dual Frames""; ""Chapter 2. Complementary Frames and Disjointness""; ""2.1. Strong Disjointness, Disjointness and Weak Disjointness""; ""2.2. Characterizations of Equivalence and Disjointness""; ""2.3. Cuntz Algebra Generators""; ""2.4. More on Alternate Duals""; ""Chapter 3. Frame Vectors for Unitary Systems""; ""3.1. The Local Commutant and Frame Vectors""; ""3.2. Dilation Theorems for Frame Vectors"" 327 $a""3.3. Equivalence Classes of Frame Vectors""""Chapter 4. Gabor Type Unitary Systems""; ""Chapter 5. Frame Wavelets, Super-wavelets and Frame Sets""; ""5.1. Frame Sets""; ""5.2. Super-wavelets""; ""5.3. A Characterization of Super-wavelets""; ""5.4. Some Frazier-Jawerth Frames""; ""5.5. MRA Super-wavelets""; ""5.6. Interpolation Theory""; ""Chapter 6. Frame Representations for Groups""; ""6.1. Basics""; ""6.2. Frame Multiplicity""; ""6.3. Parameterizations of Frame Vectors""; ""6.4. Disjoint Group Representations""; ""Chapter 7. Concluding Remarks""; ""7.1. Spectral families of frames:"" 327 $a""7.2. A Joint Project with Pete Casazza""""7.3. A Matrix Completion Characterization of Frames""; ""7.4. Some Acknowledgements""; ""7.5. Density and Connectivity of Gabor Type Frames""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 697. 606 $aFrames (Vector analysis) 606 $aOperator theory 606 $aWavelets (Mathematics) 606 $aRepresentations of groups 615 0$aFrames (Vector analysis) 615 0$aOperator theory. 615 0$aWavelets (Mathematics) 615 0$aRepresentations of groups. 676 $a510 s 676 $a515/.63 700 $aHan$b Deguang$f1959-$0311204 702 $aLarson$b David R.$f1942- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788841603321 996 $aFrames, bases, and group representations$93837746 997 $aUNINA