TY - BOOK AU - Cohn,Leslie ED - SpringerLink (Online service) TI - Analytic Theory of the Harish-Chandra C-Function T2 - Lecture Notes in Mathematics, SN - 9783540372981 AV - QA1-939 U1 - 510 23 PY - 1974/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - 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 UR - http://dx.doi.org/10.1007/BFb0064335 ER -