L Functions for the Orthogonal Group (M... | WHSmith Books

# L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society)

Paperback

Up to 2 WeeksUsually despatched within 2 weeks

£53.95

### 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.

### 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

• ISBN13: 9780821805435
• Format: Paperback
• Number Of Pages: 218
• ID: 9780821805435
• ISBN10: 0821805436

### Delivery Information

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

### Calculus and AnalysisView More

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

Close