\(K\)-finite solutions to conformally invariant systems of differential equations

DOI10.2748/TMJ/1325886280zbMath1236.22011OpenAlexW2071398725MaRDI QIDQ765666

Anthony C. Kable

Publication date: 21 March 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1325886280

zbMATH Keywords

solutionLie groupdifferential equationconformal invariancereal flag manifoldHeisenberg subgroup

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (3)

Special values for conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type ⋮ The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions ⋮ On the space of 𝐾-finite solutions to intertwining differential operators

Cites Work

• Unnamed Item
• A duality theorem for extensions of induced highest weight modules
• Conformally invariant systems of differential operators
• Symmetry in the functional equation of a local zeta distribution
• Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type

This page was built for publication: \(K\)-finite solutions to conformally invariant systems of differential equations