HARMONIC ANALYSIS ON THE QUOTIENT k^x非汉字符号k\A^1非汉字符号A^1  

作　　者：Anton Deitmar School of Mathematical Sciences University of Exeter Laver Building, North Park Road Exeter, EX4 4QE Devon, UK 

出　　处：《Acta Mathematica Scientia》2001年第1期21-28,共8页数学物理学报（B辑英文版）

摘　　要：Let G be the semidirect product A1 ■ A of the adeles and the norm 1 ideles of a global field k. Let г be the discrete subgroup kx ■ k. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L2(г\G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.Let G be the semidirect product A1 ■ A of the adeles and the norm 1 ideles of a global field k. Let г be the discrete subgroup kx ■ k. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L2(г\G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.

关 键 词：Ideles adeles Selberg trace formula Hecke algebra 

分 类 号：O152[理学—数学]