Shintani functions on $GL(2,\mathbf {R})$

DOI10.1090/S0002-9947-99-02286-2zbMath0989.11027OpenAlexW4229834942MaRDI QIDQ4942857

Miki Hirano

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02286-2

zbMATH Keywords

multiplicityunitary representation\(K\)-typeShintani function

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (7)

Unnamed Item ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ Shintani functions on $GL(2,{\mathbf {C}})$ ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ Shintani functions on \(\mathrm{SL}(3,\mathbb R)\) ⋮ Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms ⋮ Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

Cites Work

• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• Shintani function and its application to automorphic \(L\)-functions for classical groups. I: The case of orthogonal groups
• Shintani functions and automorphic \(L\)-functions for \(GL(n)\)
• Automorphic forms on GL (2)
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