A Poisson transform adapted to the Rumin complex

DOI10.1142/S1793525320500570MaRDI QIDQ5038987

Christoph Harrach, Andreas Čap, Pierre Julg

Publication date: 9 October 2022

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00635

zbMATH Keywords

complex hyperbolic spaceRumin complexCR sphereBGG complexPoisson transform on differential forms

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Differential complexes (58J10)

Cites Work

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• Poisson transforms for differential forms
• Poisson transforms on vector bundles
• Bernstein-Gelfand-Gelfand sequences

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