D'Alembert's and Wilson's equations on Lie groups

• Autores: Peter de Place Friis
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 67, Nº. 1-2, 2004, págs. 12-25
• Idioma: inglés
• DOI: 10.1007/s00010-002-2665-3
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• Resumen

  • Let G be a connected nilpotent Lie Group. We show that the solutions of the short and the long version of dAlemberts equation on G have the same form as on abelian groups. Furthermore we show that any solution of Wilsons equation in the case g 1 has the form and where is a homomorphism and A and B are complex constants. Finally we solve Jensens equation on a semidirect product of two abelian groups.