$L^2$-versions of the Howe correspondence I.

DOI10.7146/math.scand.a-12615zbMath0898.22007OpenAlexW2531788304MaRDI QIDQ4384709

Genkai Zhang, Bent Orsted

Publication date: 13 July 1998

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167416

zbMATH Keywords

symplectic groupintertwining operatormetaplectic representationreductive dual pairholomorphic discrete seriesHowe correspondencerepresentation theory of semisimple Lie groups

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (4)

Unnamed Item ⋮ The Plancherel formula of Fourier integral operators: The case of Sp(1,1) ⋮ Berezin transform on real bounded symmetric domains ⋮ Unitary representations of the universal cover of \(\mathrm{SU}(1,1)\) and tensor products

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