A regularized Siegel-Weil formula on \(\text{U}(2,2)\) and \(\text{U}(3)\)

DOI10.1215/S0012-7094-98-09416-9zbMath0989.11025OpenAlexW104949161MaRDI QIDQ1974849

Victor Tan

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09416-9

zbMATH Keywords

regularizationEisenstein seriesautomorphic formstheta functionsWeil representationSiegel-Weil formulaSiegel's mass formuladual reductive pairanalytic continuation of Eisenstein series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

A weak second term identity of the regularized Siegel-Weil formula for unitary groups, A regularized Siegel-Weil formula on \(U(1,1)\) and application to theta lifting from \(U(1)\) to \(U(1,1)\), Generalised form of a conjecture of Jacquet and a local consequence, The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula, On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄), On the Siegel–Weil formula: The case of singular forms, On the Siegel-Weil formula for unitary groups, Transfer of Siegel cusp forms of degree 2, On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups, On the Siegel-Weil formula for classical groups over function fields

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