The Fréchet Functional Equation for Lie Groups

• Autores: Alfredo Mollà, S. Nicolay
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the solutions of Fréchet’s functional equation in the context of Lie groups. In particular, we give the explicit right-abelian solutions of this equation for connected Lie groups. We also extend this result to homogeneous spaces and deal with some classical examples.