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

Ginzburg, D.; Piatetskii-Shapiro, I. I.; Rallis, Stephen

Softcover

ISBN 10: 0821805436 ISBN 13: 9780821805435

Publisher: Amer Mathematical Society, 1997

Synopsis

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.

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1997
• ISBN 10: 0821805436
• ISBN 13: 9780821805435
• Binding: Paperback
• Language: English
• Number of pages: 218