Analytic Theory of the Harish-Chandra C-Function
Published on 18. December 1974
Book
Paperback/Softback
VI, 162 pages
978-3-540-07017-7 (ISBN)
Description
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.
More details
Series
Edition
1974 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VI, 162 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
260 gr
ISBN-13
978-3-540-07017-7 (9783540070177)
DOI
10.1007/BFb0064335
Schweitzer Classification
Content
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.