L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society No. 611)

L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society No. 611)

By: D. Ginzburg (author), etc. (author), I. Piatetski-Shapiro (author), s. Rallis (author)Paperback

1 - 2 weeks availability

Description

In this book, the authors establish global Rankin Selberg integrals which determine the standard $L$ function for the group $GL_r\times G'$, where $G'$ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair $\prod_1\otimes\prod_2$ where $\prod_1$ is generic cuspidal for $GL_r(A)$ and $\prod_2$ is cuspidal for $G'(A)$. The construction of these $L$ functions involves the use of certain new 'models' of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.

Create a review

Contents

Introduction Basic data Support ideals Certain Jacquet functors Global theory Support ideals (II) Calculation of local factors Determination of $\gamma$-factors (spherical case) Determination of $\gamma$-factors (spherical-Whittaker case) Bibliography.

Product Details

  • publication date: 15/08/1997
  • ISBN13: 9780821805435
  • Format: Paperback
  • Number Of Pages: 218
  • ID: 9780821805435
  • weight: 397
  • ISBN10: 0821805436

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close