02713nam 2200601 450 99646657900331620220820084037.03-540-48379-910.1007/BFb0073556(CKB)1000000000437175(SSID)ssj0000321858(PQKBManifestationID)12081110(PQKBTitleCode)TC0000321858(PQKBWorkID)10280949(PQKB)11191750(DE-He213)978-3-540-48379-3(MiAaPQ)EBC5610515(Au-PeEL)EBL5610515(OCoLC)1078997714(MiAaPQ)EBC6819112(Au-PeEL)EBL6819112(OCoLC)1287138196(PPN)155182145(EXLCZ)99100000000043717520220820d1994 uy 0engurnn|008mamaatxtccrClifford wavelets, singular integrals, and hardy spaces /Marius Mitrea1st ed. 1994.Berlin :Springer-Verlag,[1994]©19941 online resource (CXXXVI, 124 p.) Lecture notes in mathematics ;Volume 1575Bibliographic Level Mode of Issuance: Monograph0-387-57884-6 3-540-57884-6 Clifford 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.The 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.Lecture notes in mathematics (Springer-Verlag) ;Volume 1575.Clifford algebrasClifford algebras.512.57Mitrea Marius441111MiAaPQMiAaPQMiAaPQBOOK996466579003316Clifford wavelets, singular integrals, and Hardy spaces78732UNISA