Analytic Theory of the Harish-Chandra C-Function

von L. Cohn

164 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540070177
• Sprache: Englisch
• Erscheinungsdatum: 18.12.1974
• Größe: 235 x 155 mm
• Verlag: Springer