INVESTIGADORES
PERRUCCI Daniel Roberto
artículos
Título:
A few more extensions of Putinar's Positivstellensatz to non-compact sets
Autor/es:
PAULA ESCORCIELO; DANIEL PERRUCCI
Revista:
ADVANCES IN GEOMETRY
Editorial:
DE GRUYTER
Referencias:
Lugar: BERLIN; Año: 2022 vol. 22 p. 421 - 429
ISSN:
1615-7168
Resumen:
We extend previous results about Putinars Positivstellensatz for cylinders of type S × R to setsof type S × R^r in some special cases taking into account r and the degree of the polynomial withrespect to the variables moving in R^r (this is to say, in the non-bounded directions). These specialcases are in correspondence with the ones where the equality between the cone of non-negativepolynomials and the cone of sums of squares holds. Degree bounds are provided.
