L. Cohn

Analytic Theory of the Harish-Chandra C-Function

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 429
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07017-7
• 1974
• Seitenzahl: 164
• Erscheinungstermin: 18. Dezember 1974
• Englisch
• Abmessung: 235mm x 155mm x 10mm
• Gewicht: 278g
• ISBN-13: 9783540070177
• ISBN-10: 3540070176
• Artikelnr.: 23575816

Inhaltsangabe

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.