Analytic Theory of the Harish-Chandra C-Function

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

Table of contents (23 chapters)

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    Book Chapter

    Pages 1-7

    Introduction

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    Book Chapter

    Pages 8-11

    The C-Ring

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    Book Chapter

    Pages 12-16

    Certain polynomial functions on \(\bar N\)

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    Book Chapter

    Pages 17-20

    An application of the campbell-hausdorff formula

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    Book Chapter

    Pages 21-22

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

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    Book Chapter

    Pages 23-30

    Some estimates

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    Book Chapter

    Pages 31-32

    The representation q

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    Book Chapter

    Pages 33-36

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

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    Book Chapter

    Pages 37-38

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

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    Book Chapter

    Pages 39-41

    Application of the differential equations

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    Book Chapter

    Pages 42-50

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

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    Book Chapter

    Pages 51-54

    The homomorphism FJ

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    Book Chapter

    Pages 55-63

    Preservation of certain filtrations

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    Book Chapter

    Pages 64-73

    Injectivity of the homomorphism FJ

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    Book Chapter

    Pages 74-90

    Invariance properties of the homomorphism FJ(ν)

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    Book Chapter

    Pages 91-93

    Non-vanishing of certain polynomials

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    Book Chapter

    Pages 94-96

    Algebraic properties of the C-ring

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    Book Chapter

    Pages 97-101

    The difference equations satisfied by the C-function

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    Book Chapter

    Pages 102-106

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

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    Book Chapter

    Pages 107-122

    The asymptotic behaviour of the C-function

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