Analytic Theory of the Harish-Chandra C-Function

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Hlavní autor: Cohn, Leslie, 1943-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 429
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Edition sous un autre format:• Analytic theory of the Harish-Chandra C-function, Leslie Cohn, 1974, Berlin, Springer, 1 vol. (154 p.), Lecture notes in mathematics, 3-540-07017-6
• Analytic Theory of the Harish-Chandra C-Function, Texte imprimé, 9783662186152
Obsah:
  • 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.