L functions for the orthogonal group
著者
書誌事項
L functions for the orthogonal group
（Memoirs of the American Mathematical Society, no. 611）
American Mathematical Society, 1997
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注記
"July 1997, volume 128, number 611 (third of 4 numbers)"
Includes bibliographical references (p. 218)
内容説明・目次
内容説明
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.
目次
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.
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