02892nam 2200601 450 99646658950331620220819083726.03-540-46377-110.1007/BFb0091544(CKB)1000000000437066(SSID)ssj0000327605(PQKBManifestationID)12124374(PQKBTitleCode)TC0000327605(PQKBWorkID)10301555(PQKB)11031552(DE-He213)978-3-540-46377-1(MiAaPQ)EBC5577926(Au-PeEL)EBL5577926(OCoLC)1066179995(MiAaPQ)EBC6812346(Au-PeEL)EBL6812346(OCoLC)1287137743(PPN)155213695(EXLCZ)99100000000043706620220819d1991 uy 0engurnn|008mamaatxtccrWavelets and singular integrals on curves and surfaces /Guy David1st ed. 1991.Berlin ;Heidelberg :Springer-Verlag,1991.1 online resource (X, 110 p.) Lecture Notes in Mathematics ;Volume 1465Bibliographic Level Mode of Issuance: Monograph3-540-53902-6 Wavelets -- Singular integral operators -- Singular integrals on curves and surfaces.Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.Lecture notes in mathematics (Springer-Verlag) ;Volume 1465.Singular integralsMaximal functionsSingular integrals.Maximal functions.515.723David Guy1957-1101804MiAaPQMiAaPQMiAaPQBOOK996466589503316Wavelets and singular integrals on curves and surfaces2906424UNISA