Analytic theory of the Harish-Chandra C-function
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Bibliographic Information
Analytic theory of the Harish-Chandra C-function
（Lecture notes in mathematics, 429）
Springer-Verlag, 1974
- : Germany
- : U.S.
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: GermanyL/N||LNM||4292118632
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
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Note
Bibliography: p. 152
Includes index
Description and Table of Contents
Table of Contents
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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