The Heisenberg ultrahyperbolic equation: the basic solutions as distributions

DOI10.2140/PJM.2012.258.165zbMath1260.22009OpenAlexW2095354329MaRDI QIDQ450511

Anthony C. Kable

Publication date: 13 September 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.org/pjm/2012/258-1/p06.xhtml

zbMATH Keywords

Kelvin transformHeisenberg groupconformally invariant operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (4)

Special values for conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type ⋮ Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions ⋮ On the space of 𝐾-finite solutions to intertwining differential operators

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