Representations of a solvable Lie group on \({\bar \partial}_ b\) cohomology spaces

DOI10.3792/PJAA.62.331zbMath0626.22005OpenAlexW2019711016WikidataQ115219947 ScholiaQ115219947MaRDI QIDQ580515

Takaaki Nomura

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.331

zbMATH Keywords

nilpotent Lie groupunitary representationssolvable Lie algebraShilov boundarymultiplicity freeSiegel domain\({\bar \partial }_ b\)-cohomology

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (1)

Takaaki Nomura: a prominent figure of the Tunisia-Japan cooperation

Cites Work

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• Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs
• Fourier transform of a space of holomorphic discrete series
• Group representations on Hilbert spaces defined in terms of \(\overline\partial_b\)-cohomology on the Silov boundary of a Siegel domain
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel

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