Group representations on Hilbert spaces defined in terms of \(\overline\partial_b\)-cohomology on the Silov boundary of a Siegel domain

DOI10.2140/pjm.1976.65.193zbMath0354.22018OpenAlexW1967416398MaRDI QIDQ1236643

Hugo Rossi, Michèle Vergne

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2140/pjm.1976.65.193

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Homology and homotopy of topological groups and related structures (57T99)

Related Items (6)

Paley-Wiener-Schwartz theorems on quadratic CR manifolds ⋮ Analysis of the Kohn Laplacian on quadratic CR manifolds. ⋮ Unitary Structures on Cohomology ⋮ Representations of a solvable Lie group on \({\bar \partial}_ b\) cohomology spaces ⋮ Radon transforms on Siegel-type nilpotent Lie groups ⋮ Schwartz kernels on Siegel II domain

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