LEADER 03137nam 2200613 450 001 9910480986003321 005 20170822144130.0 010 $a1-4704-0408-7 035 $a(CKB)3360000000464991 035 $a(EBL)3114108 035 $a(SSID)ssj0000973895 035 $a(PQKBManifestationID)11591779 035 $a(PQKBTitleCode)TC0000973895 035 $a(PQKBWorkID)10984331 035 $a(PQKB)11520346 035 $a(MiAaPQ)EBC3114108 035 $a(PPN)195416945 035 $a(EXLCZ)993360000000464991 100 $a20150417h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSelf-similarity and multiwavelets in higher dimension /$fCarlos A. Cabrelli, Christopher Heil, Ursula M. Molter 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004. 210 4$dİ2004 215 $a1 online resource (98 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 170, Number 807 300 $a"Volume 170, Number 807 (end of volume)." 311 $a0-8218-3520-3 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Description of Results""; ""1.2. A Historical Overview""; ""Chapter 2. Matrices, Tiles and the Joint Spectral Radius""; ""2.1. Miscellaneous Notation""; ""2.2. Attractors and Tiles""; ""2.3. Matrix Form of the Refinement Operator""; ""2.4. The Joint Spectral Radius""; ""Chapter 3. Generalized Selfa???Similarity and the Refinement Equation""; ""3.1. Generalized Selfa???Similarity""; ""3.2. Sufficient Conditions for the Existence of Vector Scaling Functions"" 327 $a""3.3. Continuous Solutions and the Support of the Refinement Equation Coefficients""""3.4. Highera???Order Accuracy""; ""3.5. Invariant Subspaces""; ""3.6. Necessary Conditions for the Existence of Continuous Vector Scaling Functions""; ""3.7. Holder Continuity""; ""Chapter 4. Multiresolution Analysis""; ""4.1. Multiresolution Analysis""; ""4.2. Wavelets Associated with a Multiresolution Analysis""; ""Chapter 5. Examples""; ""5.1. Numerical Estimates of the Joint Spectral Radius""; ""5.2. The Kovacevica???Vetterli Scaling Function""; ""5.3. Nonseparable Quincunx Multiwavelets"" 327 $a""Bibliography""""Appendix A. Index of Symbols"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 170, Number 807. 606 $aDifference equations 606 $aFunctional equations 606 $aInequalities (Mathematics) 608 $aElectronic books. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aInequalities (Mathematics) 676 $a515.625 700 $aCabrelli$b Carlos A$f1949-$0963665 702 $aHeil$b Christopher$f1960- 702 $aMolter$b Ursula M.$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480986003321 996 $aSelf-similarity and multiwavelets in higher dimension$92184949 997 $aUNINA