Spectral decomposition of \(L^ 2(N\backslash GL(2),\eta)\)

DOI10.2140/PJM.1986.124.215zbMATH Open0596.22006OpenAlexW1536629672MaRDI QIDQ1078341

Dinakar Ramakrishnan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2140/pjm.1986.124.215

zbMATH Keywords

continuous spectrumdiscrete spectrumspecial functionsWhittaker modelL- functions\(\epsilon \) -factors\(G^ 1\)-modulesscalar product formulasSchwartz-Bruhat functionsspectral decomposition of \(L^ 2\)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Discrete subgroups of Lie groups (22E40) Analysis on other specific Lie groups (43A80) Linear algebraic groups over local fields and their integers (20G25)

Related Items (3)

Title not available (Why is that?) ⋮ Spectral decomposition of a covering of \(GL(r)\): The Borel case ⋮ Residual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group

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