On the asymptotics of Hecke operators for reductive groups
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On the asymptotics of Hecke operators for reductive groups. / Finis, Tobias; Matz, Jasmin.
In: Mathematische Annalen, Vol. 380, No. 3-4, 2021, p. 1037-1104.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On the asymptotics of Hecke operators for reductive groups
AU - Finis, Tobias
AU - Matz, Jasmin
PY - 2021
Y1 - 2021
N2 - In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups over Q. Under a condition on the analytic behavior of intertwining operators, which is known for the classical groups and the exceptional group G2, we obtain the expected asymptotics in terms of the spherical Plancherel measure and an explicit estimate for the remainder.
AB - In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups over Q. Under a condition on the analytic behavior of intertwining operators, which is known for the classical groups and the exceptional group G2, we obtain the expected asymptotics in terms of the spherical Plancherel measure and an explicit estimate for the remainder.
U2 - 10.1007/s00208-021-02163-0
DO - 10.1007/s00208-021-02163-0
M3 - Journal article
VL - 380
SP - 1037
EP - 1104
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 3-4
ER -
ID: 284426578