Lie theory and the wave equation in space–time. 3. Semisubgroup coordinates

DOI10.1063/1.523246zbMath0345.35064OpenAlexW2017397261MaRDI QIDQ4114206

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1977

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523246

Mathematics Subject Classification ID

Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Identities on solutions of the wave equation in the enveloping algebra of the conformal group ⋮ The wave equation and separation of variables on the complex sphere \(S_ 4\). ⋮ Use of noncommutative integration to construct the basis of wave-equation solutions ⋮ Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0 ⋮ Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0 ⋮ Lie theory and the wave equation in space–time. 4. The Klein–Gordon equation and the Poincaré group ⋮ On Lie algebraic properties of the step operators acting on P or confluent P functions ⋮ The wave equation, O(2, 2), and separation of variables on hyperboloids ⋮ Noncommutative solutions of the d'Alembert equation

Cites Work

• On a Normal Form of the Orthogonal Transformation I
• Symmetry and separation of variables for the Helmholtz and Laplace equations
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