Nontriviality of the space of holomorphically induced representations of a solvable Lie group

DOI10.1007/BF01081894zbMath0412.22008WikidataQ115394247 ScholiaQ115394247MaRDI QIDQ1260190

A. A. Zajtsev

Publication date: 1977

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

polarizationholomorphically induced representationssolvable Lie groupmethod of orbitsPukansky condition

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) General properties and structure of real Lie groups (22E15) Induced representations for locally compact groups (22D30)

Related Items

Harmonically induced representations of solvable Lie groups ⋮ Holomorphically induced representations of some solvable Lie groups

Cites Work

• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
• Quantization and representations of solvable Lie groups