\(\Theta\)-correspondences \((U(1),U(2))\). II: Ramified case

DOI10.1016/J.JNT.2004.10.012zbMath1084.11019OpenAlexW1965998902MaRDI QIDQ2568212

Manouchehr Misaghian

Publication date: 10 October 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.10.012

zbMATH Keywords

unitary groupeigenfunctionlattice modelHowe correspondence

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Analysis on (p)-adic Lie groups (22E35)

Cites Work

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• Howe correspondences on a \(p\)-adic field
• Supercuspidal representations and the theta correspondence
• Representations of division algebras over local fields
• The dual pair \((U(1),U(1))\) over a \(p\)-adic field
• Splitting metaplectic covers of dual reductive pairs
• On the supercuspidal representations of \(SL_ 2\) and its twofold cover. I, II
• The representations of \(D^1\)
• The smooth irreducible representations of U(2)
• Eigenfunctions of the Weil representation of unitary groups of one variable
• On Induced Representations of Groups

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