A class of solutions with zeros for the Aleksandrov equation.

Constanza Borelli Forti

Stochastica (1992)

  • Volume: 13, Issue: 1, page 23-30
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Borelli Forti, Constanza. "Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.." Stochastica 13.1 (1992): 23-30. <http://eudml.org/doc/39278>.

@article{BorelliForti1992,
author = {Borelli Forti, Constanza},
journal = {Stochastica},
keywords = {Ecuaciones funcionales; Generalización; Prolongación de soluciones; Aleksandrov functional equation; functional equations on sets; increasing sequences; interior; bounded from below; zeros; border; cone; chronogeometry; general relativity},
language = {ita},
number = {1},
pages = {23-30},
title = {Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.},
url = {http://eudml.org/doc/39278},
volume = {13},
year = {1992},
}

TY - JOUR
AU - Borelli Forti, Constanza
TI - Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.
JO - Stochastica
PY - 1992
VL - 13
IS - 1
SP - 23
EP - 30
LA - ita
KW - Ecuaciones funcionales; Generalización; Prolongación de soluciones; Aleksandrov functional equation; functional equations on sets; increasing sequences; interior; bounded from below; zeros; border; cone; chronogeometry; general relativity
UR - http://eudml.org/doc/39278
ER -

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