Jorda Mora, Enrique(Hindawi Publishing Corporation, 2013)
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a ...
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 ...