A generalization of Cauchy-Riemann equations on a Riemannian symmetric space and the \(H^p\) space theory

DOI10.3792/pjaa.55.255zbMath0446.58015OpenAlexW2078182889WikidataQ115219981 ScholiaQ115219981MaRDI QIDQ1145932

Koichi Saka

Publication date: 1979

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.55.255

zbMATH Keywords

harmonic sectionsgeneralized Sobolev spacesCauchy Riemann equations in a Riemannian symmetric spacehomogeneous vector bundle over a Riemannian symmetric space whose fiber is a Clifford algebrasubharmonic sections

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential complexes (58J10) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items

Analysis of the Laplacian on a complete Riemannian manifold, Connections on differentiable fiber bundles

Cites Work

• On the theory of harmonic functions of several variables
• The representation theorem and the \(H^p\) space theory associated with semigroups on Lie groups
• \(H^p\) spaces of several variables
• Invariant systems of conjugate harmonic functions associated with compact Lie groups