The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions
The author introduces the Heisenberg ultrahyperbolic operator, establishes its conformal invariance and derives a number of facts from the general theory of such operators. His main concern is the study of global smooth solutions to the Heisenberg ultrahyperbolic equation. In this direction, the author solves the problem of finding all \(K\)-finite solutions to the said equation and proves an analogue of the range theorem due to Fritz John.
scientific article; zbMATH DE number 6121398
scientific article