Spherical Functions for the Semisimple Symmetric Pair (Sp(2, ℝ), SL(2, ℂ))

DOI10.4153/CJM-2002-032-2zbMath1006.22009OpenAlexW153873208MaRDI QIDQ3153540

Tomonori Moriyama

Publication date: 26 November 2002

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2002-032-2

zbMATH Keywords

spherical functionsintertwining operatorsprincipal series representation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Harmonic analysis and spherical functions (43A90)

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Unnamed Item ⋮ Unnamed Item ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ Spectral average of central values of automorphic \(L\)-functions for holomorphic cusp forms on \(\mathrm{SO}_0(m,2)\). I ⋮ Shintani functions on \(\mathrm{SL}(3,\mathbb R)\)

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