LEADER 02571nam 2200553 450 001 9910788850003321 005 20170822131709.0 010 $a1-4704-0379-X 035 $a(CKB)3360000000464965 035 $a(EBL)3114418 035 $a(SSID)ssj0000910362 035 $a(PQKBManifestationID)11496482 035 $a(PQKBTitleCode)TC0000910362 035 $a(PQKBWorkID)10932009 035 $a(PQKB)11737825 035 $a(MiAaPQ)EBC3114418 035 $a(RPAM)13127396 035 $a(PPN)195416678 035 $a(EXLCZ)993360000000464965 100 $a20030318d2003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnisotropic Hardy spaces and wavelets /$fMarcin Bownik 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2003. 215 $a1 online resource (136 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 781 300 $a"Volume 164, number 781 (third of 5 numbers)." 311 $a0-8218-3326-X 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Chapter 1. Anisotropic Hardy Spaces""; ""1. Introduction""; ""2. The space of homogeneous type associated with the discrete group of dilations""; ""3. The grand maximal definition of anisotropic Hardy spaces""; ""4. The atomic definition of anisotropic Hardy spaces""; ""5. The CalderA?łn-Zygmund decomposition for the grand maximal function""; ""6. The atomic decomposition of H[sup(p)]""; ""7. Other maximal definitions""; ""8. Duals of H[sup(p)]""; ""9. CalderA?łn-Zygmund singular integrals on H[sup(p)]""; ""10. Classification of dilations""; ""Chapter 2. Wavelets"" 327 $a""1. Introduction""""2. Wavelets in the Schwartz class""; ""3. Limitations on orthogonal wavelets""; ""4. Non-orthogonal wavelets in the Schwartz class""; ""5. Regular wavelets as an unconditional basis for H[sup(p)]""; ""6. Characterization of Hp in terms of wavelet coefficients""; ""Notation Index""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 781. 606 $aHardy spaces 606 $aWavelets (Mathematics) 615 0$aHardy spaces. 615 0$aWavelets (Mathematics) 676 $a510 s 676 $a515/.94 700 $aBownik$b Marcin$f1971-$01565958 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788850003321 996 $aAnisotropic Hardy spaces and wavelets$93836114 997 $aUNINA