02659nam 2200613 450 99646658610331620220907123805.03-540-37298-910.1007/BFb0064335(CKB)1000000000438375(SSID)ssj0000321289(PQKBManifestationID)12068487(PQKBTitleCode)TC0000321289(PQKBWorkID)10263030(PQKB)10136967(DE-He213)978-3-540-37298-1(MiAaPQ)EBC5585692(Au-PeEL)EBL5585692(OCoLC)1066196726(MiAaPQ)EBC6842101(Au-PeEL)EBL6842101(PPN)155211714(EXLCZ)99100000000043837520220907d1974 uy 0engurnn|008mamaatxtccrAnalytic theory of the Harish-Chandra C-function /Leslie Cohn1st ed. 1974.Berlin ;Heidelberg ;New York :Springer-Verlag,[1974]©19741 online resource (VI, 162 p.) Lecture notes in mathematics (Springer-Verlag) ;429Bibliographic Level Mode of Issuance: Monograph3-540-07017-6 The C-Ring -- Certain polynomial functions on -- An application of the campbell-hausdorff formula -- The “Fundamental theorem of calculus” on -- Some estimates -- The representation q -- The differential equations satisfied by eiv-?(H(x)) -- The differential equations on satisfied by the cusp form -- Application of the differential equations -- The functions FJ (?| ) (b) -- The homomorphism FJ -- Preservation of certain filtrations -- Injectivity of the homomorphism FJ -- Invariance properties of the homomorphism FJ(?) -- Non-vanishing of certain polynomials -- Algebraic properties of the C-ring -- The difference equations satisfied by the C-function -- The critical points of the function ?(H( )) -- The asymptotic behaviour of the C-function -- The uniqueness theorem -- The representation theorems -- Conclusion.Lecture notes in mathematics (Springer-Verlag) ;429.Difference equationsC-functionsHarmonic functionsDifference equations.C-functions.Harmonic functions.515.625Cohn Leslie1943-55616MiAaPQMiAaPQMiAaPQBOOK996466586103316Analytic theory of the Harish-Chandra C-function81385UNISA