本刊英文版2022年65卷第7期(1131–1552)摘要(英文)  

出　　处：《中国科学：数学》2022年第7期I0001-I0004,共4页Scientia Sinica：Mathematica

摘　　要：Isolation of the cuspidal spectrum:The function field case Li Cai&Bin Xu Abstract Isolating cuspidal automorphic representations from the whole automorphic spectrum is a basic problem in the trace formula approach.For example,matrix coefficients of supercuspidal representations can be used as test functions for this However,they kill a large class of interesting cuspidal automorphic representations.For thecase of number fields,multipliers of the Schwartz algebra are used in the recent work(see Beuzart-Plessis et al.(2021))to isolateallthecuspidal spectra.In particular,they are suitable for the comparison of orbital integrals.Isolation of the cuspidal spectrum:The function field case Li Cai&Bin Xu Abstract Isolating cuspidal automorphic representations from the whole automorphic spectrum is a basic problem in the trace formula approach. For example,

关 键 词：SPECTRA SPECTRUM ALGEBRA 

分 类 号：O1-5[理学—数学] Z89[理学—基础数学]