Unitary representations of unimodular Lie groups in Bergman spaces

DOI10.1007/s00209-011-0945-0zbMath1254.43001arXiv1009.2110OpenAlexW2074873921WikidataQ115388779 ScholiaQ115388779MaRDI QIDQ455626

Giuseppe Della Sala, Joe J. Perez

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2110

zbMATH Keywords

Heisenberg groupaugmentationamenabilitycompact kernelsgauged \(G\)-complexificationsindefinite-dimensional Bergman representation spacesstrongly continuous unitary representationsunimodular Lie group

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Proceedings, conferences, collections, etc. pertaining to abstract harmonic analysis (43-06)

Related Items (3)

Heat kernel estimates for the \({{\bar{\partial}}}\)-Neumann problem on \(G\)-manifolds ⋮ Bergman spaces of natural \(G\)-manifolds ⋮ Essential self-adjointness, generalized eigenforms, and spectra for the \(\bar {\partial}\)-Neumann problem on G-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic Dirac approximation for real linear algebraic groups
• On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds
• On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds
• The \(G\)-Fredholm property of the \(\bar{\partial}\)-Neumann problem
• Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
• \(L^2\) holomorphic sections of bundles over weakly pseudoconvex coverings
• Compact Heisenberg manifolds as CR manifolds
• Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains
• Bemerkenswerte pseudokonvexe Mannigfaltigkeiten
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Harmonic integrals on strongly pseudo-convex manifolds. II
• The Levi problem on strongly pseudoconvex \(G\)-bundles
• Morse inequalities for covering manifolds
• A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles
• Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Pseudolocal estimates for bar partial on general pseudoconvex domains
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Lie groups

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