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

Harvard

Finis, T & Matz, J 2021, 'On the asymptotics of Hecke operators for reductive groups', Mathematische Annalen, vol. 380, no. 3-4, pp. 1037-1104. https://doi.org/10.1007/s00208-021-02163-0

APA

Finis, T., & Matz, J. (2021). On the asymptotics of Hecke operators for reductive groups. Mathematische Annalen, 380(3-4), 1037-1104. https://doi.org/10.1007/s00208-021-02163-0

Vancouver

Finis T, Matz J. On the asymptotics of Hecke operators for reductive groups. Mathematische Annalen. 2021;380(3-4):1037-1104. https://doi.org/10.1007/s00208-021-02163-0

Author

Finis, Tobias ; Matz, Jasmin. / On the asymptotics of Hecke operators for reductive groups. In: Mathematische Annalen. 2021 ; Vol. 380, No. 3-4. pp. 1037-1104.

Bibtex

@article{da4964b70448431c937088a540b0deb1,
title = "On the asymptotics of Hecke operators for reductive groups",
abstract = "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.",
author = "Tobias Finis and Jasmin Matz",
year = "2021",
doi = "10.1007/s00208-021-02163-0",
language = "English",
volume = "380",
pages = "1037--1104",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer",
number = "3-4",

}

RIS

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