# On the singular factor of a linear combination of holomorphic functions

Authors
Type
Published Article
Publication Date
Oct 01, 2012
Submission Date
Oct 01, 2012
Identifiers
DOI: 10.1016/j.crma.2012.05.004
Source
arXiv
We prove that the linear combinations of functions $f_0,...,f_n$ in $H^\infty$ have "few" singular inner factors, provided that the $f_j$'s are suitably smooth up to the boundary, while in general this is no longer true.