LEADER 02713nam 2200601 450 001 996466579003316 005 20220820084037.0 010 $a3-540-48379-9 024 7 $a10.1007/BFb0073556 035 $a(CKB)1000000000437175 035 $a(SSID)ssj0000321858 035 $a(PQKBManifestationID)12081110 035 $a(PQKBTitleCode)TC0000321858 035 $a(PQKBWorkID)10280949 035 $a(PQKB)11191750 035 $a(DE-He213)978-3-540-48379-3 035 $a(MiAaPQ)EBC5610515 035 $a(Au-PeEL)EBL5610515 035 $a(OCoLC)1078997714 035 $a(MiAaPQ)EBC6819112 035 $a(Au-PeEL)EBL6819112 035 $a(OCoLC)1287138196 035 $a(PPN)155182145 035 $a(EXLCZ)991000000000437175 100 $a20220820d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aClifford wavelets, singular integrals, and hardy spaces /$fMarius Mitrea 205 $a1st ed. 1994. 210 1$aBerlin :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (CXXXVI, 124 p.) 225 1 $aLecture notes in mathematics ;$vVolume 1575 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-57884-6 311 $a3-540-57884-6 327 $aClifford algebras -- Constructions of Clifford wavelets -- The L 2 Boundedness of Clifford algebra valued singular integral operators -- Hardy spaces of monogenic functions -- Applications to the theory of harmonic functions. 330 $aThe book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. Results are applied to potential theory and elliptic boundary value problems on non-smooth domains. The book is self-contained to a large extent and well-suited for graduate students and researchers in the areas of wavelet theory, Harmonic and Clifford Analysis. It will also interest the specialists concerned with the applications of the Clifford algebra machinery to Mathematical Physics. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1575. 606 $aClifford algebras 615 0$aClifford algebras. 676 $a512.57 700 $aMitrea$b Marius$0441111 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466579003316 996 $aClifford wavelets, singular integrals, and Hardy spaces$978732 997 $aUNISA