On a functional equation involving group actions

• Autores: Harald Fripertinger
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 77, Nº. 1-2, 2009, págs. 25-32
• Idioma: inglés
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• Resumen

  • During the forty-first ISFE in Noszvaj, Hungary, G. Guzik posed a problem on a functional equation involving group actions which arose in a generalization of Bargman theory occurring in Quantum Mechanics. (Cf. 18. Problem and Remark in �Report of Meeting", Aequationes Math., 67 (2004), 312�313.)Let (G, ·) be a group which is acting on a set X and let (K, +) be an abelian group. Describe all functions satisfying for all and .This problem was solved in a particular case by B. Ebanks. (Cf. 19. Remark in �Report of Meeting", Aequationes Math. 67 (2004), p. 313.) We present the general solution of this problem.