Book Review: Automorphic representations and L-functions for the general linear group. Volume I; Automorphic representations and L-functions for the general linear group. Volume II
نویسندگان
چکیده
منابع مشابه
Automorphic representations and L-functions for the general linear group. Volume
One of the signs of the maturity of a subject, and oftentimes one of the causes of it, is the appearance of technical textbooks that are accessible to strong firstyear graduate students. Such textbooks would have to make a careful selection of topics that are scattered in papers and research monographs and present them in a coherent fashion, occasionally replacing the natural historical order o...
متن کاملL-Functions and Automorphic Representations*
There are two kinds of L-functions, and they will be described below: motivic L-functions which generalize the Artin L-functions and are defined purely arithmetically, and automorphic L-functions, defined by data which are largely transcendental. Within the automorphic L-functions a special class can be singled out, the class of standard L-functions, which generalize the Hecke L-functions and f...
متن کاملAutomorphic Representations and L-functions
• Decomposition by central characters • Square-integrable cuspforms • Smoothness of cuspforms • Eigen-cuspforms and automorphic representation • Dirichlet series versus zeta and L-functions • L-functions defined via local data • Factoring unitary representations of adele groups • Spherical representations and Satake parameters • Local data, L-groups, higher L-functions References and historical...
متن کاملHolomorphic extensions of representations : ( I ) automorphic functions
Let G be a connected, real, semisimple Lie group contained in its complexification GC, and let K be a maximal compact subgroup of G. We construct a KC-G double coset domain in GC, and we show that the action of G on the K-finite vectors of any irreducible unitary representation of G has a holomorphic extension to this domain. For the resultant holomorphic extension of K-finite matrix coefficien...
متن کاملLectures on automorphic L-functions
PREFACE This article follows the format of five lectures that we gave on automorphic Lfunctions. The lectures were intended to be a brief introduction for number theorists to some of the main ideas in the subject. Three of the lectures concerned the general properties of automorphic L-functions, with particular reference to questions of spectral decomposition. We have grouped these together as ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2013
ISSN: 0273-0979,1088-9485
DOI: 10.1090/s0273-0979-2013-01399-5