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The Heisenberg
ultrahyperbolic equation: The basic solutions as
distributions
Anthony C. Kable |
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Vol. 258 (2012), No. 1, 165–197
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Abstract |
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Tempered distributions are associated to the basic solutions of the Heisenberg ultrahyperbolic equations and the properties of these distributions are investigated. For almost all values of the parameter, a fundamental solution for the Heisenberg ultrahyperbolic operator is expressed in terms of these distributions. |
Keywords
Kelvin transform, conformally invariant operator,
Heisenberg group
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Mathematical Subject Classification 2010
Primary: 22E30
Secondary: 35R03, 22E25
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Milestones
Received: 14 August 2011
Revised: 11 December 2011
Accepted: 24 December 2011
Published: 21 July 2012
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Authors |
| Anthony C. Kable | |
| Department of Mathematics Oklahoma State University Stillwater, OK 74078 United States |
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