The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions
type: Item
instance of: scholarly article
title: The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions
zbMATH Open document ID: 1287.22003
DOI: 10.1215/21562261-1728911
author: Anthony C. Kable
published in: Kyoto Journal of Mathematics
publication date: 2013-01-03T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.kjm/1352987538
review text: 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.
reviewed by: Isolda E. Cardoso
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 22E47
Mathematics Subject Classification ID: 35C11
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35R03
zbMATH DE Number: 6121398
zbMATH Keywords: Heisenberg ultrahyperbolic operator
zbMATH Keywords: conformal invariance
zbMATH Keywords: utrahyperbolic equation
zbMATH Keywords: PDE
MaRDI profile type: Publication
OpenAlex ID: W2072078754
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description: scientific article; zbMATH DE number 6121398