Book Volume 429 1974

Analytic Theory of the Harish-Chandra C-Function

Authors:

ISBN: 978-3-540-07017-7 (Print) 978-3-540-37298-1 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-iii

  2. Chapter

    Pages 1-7

    Introduction

  3. Chapter

    Pages 8-11

    The C-Ring

  4. Chapter

    Pages 12-16

    Certain polynomial functions on \(\bar N\)

  5. Chapter

    Pages 17-20

    An application of the campbell-hausdorff formula

  6. Chapter

    Pages 21-22

    The “Fundamental theorem of calculus” on \(\bar N\)

  7. Chapter

    Pages 23-30

    Some estimates

  8. Chapter

    Pages 31-32

    The representation q

  9. Chapter

    Pages 33-36

    The differential equations satisfied by eiv-ρ(H(x))

  10. Chapter

    Pages 37-38

    The differential equations on \(\bar N\) satisfied by the cusp form

  11. Chapter

    Pages 39-41

    Application of the differential equations

  12. Chapter

    Pages 42-50

    The functions FJ (ν| \(\bar n\) ) (b)

  13. Chapter

    Pages 51-54

    The homomorphism FJ

  14. Chapter

    Pages 55-63

    Preservation of certain filtrations

  15. Chapter

    Pages 64-73

    Injectivity of the homomorphism FJ

  16. Chapter

    Pages 74-90

    Invariance properties of the homomorphism FJ(ν)

  17. Chapter

    Pages 91-93

    Non-vanishing of certain polynomials

  18. Chapter

    Pages 94-96

    Algebraic properties of the C-ring

  19. Chapter

    Pages 97-101

    The difference equations satisfied by the C-function

  20. Chapter

    Pages 102-106

    The critical points of the function ν(H( \(\bar n\) ))

  21. Chapter

    Pages 107-122

    The asymptotic behaviour of the C-function

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