Analytic Theory of the Harish-Chandra C-Function. 1st ed. 1974

種類:

電子ブック

責任表示:

by L. Cohn

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1974

著者名:

• Cohn, L.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 429

ISBN:

9783540372981 [3540372989]    

注記:

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.

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