Certain L2-Norms on Automorphic Representations of SL(2, R)
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axioms-13-00080.pdf
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356.21 KB
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42732c47d70a5ed0cbdc879cf76363aa
Author(s)
He, Hongyu
Date Issued
January 25, 2024
Journal
Axioms
Publisher
MDPI AG
Citation
He H. Certain L2-Norms on Automorphic Representations of SL(2, ℝ). Axioms. 2024; 13(2):80.
Version
Final published version
Abstract
Let Γ be a non-uniform lattice in SL(2,R). In this paper, we study various L2-norms of automorphic representations of SL(2,R). We bound these norms with intrinsic norms defined on the representation. Comparison of these norms can help us understand the growth of L-functions in a systematic way.
Subjects
Geometry and Topology
Logic
Mathematical Physics
Algebra and Number Theory
Analysis
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.3390/axioms13020080