02836nam 2200637 450 99646659370331620220907004140.03-540-48652-610.1007/BFb0073511(CKB)1000000000437187(SSID)ssj0000322574(PQKBManifestationID)12117607(PQKBTitleCode)TC0000322574(PQKBWorkID)10289028(PQKB)11613819(DE-He213)978-3-540-48652-7(MiAaPQ)EBC5594333(Au-PeEL)EBL5594333(OCoLC)1076232438(MiAaPQ)EBC6841833(Au-PeEL)EBL6841833(PPN)155205951(EXLCZ)99100000000043718720220907d1994 uy 0engurnn|008mamaatxtccrDifference spaces and invariant linear forms /Rodney Victor Nillsen1st ed. 1994.Berlin, Germany ;New York, New York :Springer-Verlag,[1994]©19941 online resource (XII, 192 p.) Lecture Notes in Mathematics,0075-8434 ;1586Bibliographic Level Mode of Issuance: Monograph3-540-58323-8 Includes bibliographical references and indexes.General and preparatory results -- Multiplication and difference spaces on R n -- Applications to differential and singular integral operators -- Results for L p spaces on general groups.Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.Lecture Notes in Mathematics,0075-8434 ;1586Fourier transformationsHarmonic analysisSingular integralsFourier transformations.Harmonic analysis.Singular integrals.510Nillsen Rodney Victor1945-60688MiAaPQMiAaPQMiAaPQBOOK996466593703316Difference spaces and invariant linear forms78704UNISA