The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions (Q1928328)
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scientific article; zbMATH DE number 6121398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions |
scientific article; zbMATH DE number 6121398 |
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The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions (English)
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3 January 2013
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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.
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Heisenberg ultrahyperbolic operator
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conformal invariance
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utrahyperbolic equation
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PDE
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