LEADER 02892nam 2200601 450 001 996466589503316 005 20220819083726.0 010 $a3-540-46377-1 024 7 $a10.1007/BFb0091544 035 $a(CKB)1000000000437066 035 $a(SSID)ssj0000327605 035 $a(PQKBManifestationID)12124374 035 $a(PQKBTitleCode)TC0000327605 035 $a(PQKBWorkID)10301555 035 $a(PQKB)11031552 035 $a(DE-He213)978-3-540-46377-1 035 $a(MiAaPQ)EBC5577926 035 $a(Au-PeEL)EBL5577926 035 $a(OCoLC)1066179995 035 $a(MiAaPQ)EBC6812346 035 $a(Au-PeEL)EBL6812346 035 $a(OCoLC)1287137743 035 $a(PPN)155213695 035 $a(EXLCZ)991000000000437066 100 $a20220819d1991 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aWavelets and singular integrals on curves and surfaces /$fGuy David 205 $a1st ed. 1991. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d1991. 215 $a1 online resource (X, 110 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1465 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-53902-6 327 $aWavelets -- Singular integral operators -- Singular integrals on curves and surfaces. 330 $aWavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1465. 606 $aSingular integrals 606 $aMaximal functions 615 0$aSingular integrals. 615 0$aMaximal functions. 676 $a515.723 700 $aDavid$b Guy$f1957-$01101804 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466589503316 996 $aWavelets and singular integrals on curves and surfaces$92906424 997 $aUNISA