Conejero, J. Alberto; Muñoz-Fernández, Gustavo A.; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno(Belgian Mathematical Society, 2015)
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et ...
Conejero Casares, José Alberto; Jiménez Rodríguez, Pablo; Muñoz-Fernández, Gustavo A.; Seoane-Sepúlveda, Juan B.(Mathematical Association of America (MAA), 2014-01)
The Identity Theorem states that an analytic function (real or complex)
on a connected domain is uniquely determined by its values on a
sequence of distinct points that converge to a point of its domain. This
result is ...