Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.
- Autores: Constanza Borelli Forti
- Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 13, Nº. 1, 1992, págs. 23-30
- Idioma: italiano
- Títulos paralelos:
- Una clase de soluciones con ceros de la ecuación funcional de Aleksandrov.
- A class of solutions with zeros for the Aleksandrov equation.
- Enlaces
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Resumen
In this paper we consider the Aleksandrov equation f(L + x) = f(L) + f(x) where L is contained in Rn and f: L --> R and we describe the class of solutions bounded from below, with zeros and assuming on the boundary of the set of zeros only values multiple of a fixed a > 0. This class is the natural generalization of that described by Aleksandrov itself in the one-dimensional case.
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