Algebras of symbols and modular forms

被引：23
|
作者：
Unterberger, A
Unterberger, J
机构：
[1] UNIV REIMS,DEPT MATH,BP 1039,F-51687 REIMS 2,FRANCE
[2] UNIV REIMS,DEPT MATH,F-51687 REIMS 2,FRANCE
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 1996年 / 68卷
关键词：
D O I：
10.1007/BF02790207
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A formula of H. Cohen permits building a sequence of modular forms of weights k(1) + k(2) + 2j,j greater than or equal to 0, from two modular forms of weights k(1) and k(2). We show that these bilinear products can be interpreted as arising from the composition formula associated with a symbolic calculus of operators linked to the principal series of representations of SL(2, R).
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页码：121 / 143
页数：23
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