02571nam 2200553 450 991081275130332120170822131709.01-4704-0379-X(CKB)3360000000464965(EBL)3114418(SSID)ssj0000910362(PQKBManifestationID)11496482(PQKBTitleCode)TC0000910362(PQKBWorkID)10932009(PQKB)11737825(MiAaPQ)EBC3114418(RPAM)13127396(PPN)195416678(EXLCZ)99336000000046496520030318d2003 uy| 0engur|n|---|||||txtccrAnisotropic Hardy spaces and wavelets /Marcin BownikProvidence, Rhode Island :American Mathematical Society,2003.1 online resource (136 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 781"Volume 164, number 781 (third of 5 numbers)."0-8218-3326-X Includes bibliographical references and index.""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 Calderón-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. Calderón-Zygmund singular integrals on H[sup(p)]""; ""10. Classification of dilations""; ""Chapter 2. Wavelets""""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""Memoirs of the American Mathematical Society ;no. 781.Hardy spacesWavelets (Mathematics)Hardy spaces.Wavelets (Mathematics)510 s515/.94Bownik Marcin1971-1619733MiAaPQMiAaPQMiAaPQBOOK9910812751303321Anisotropic Hardy spaces and wavelets3952128UNINA