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arXiv · 1210.0599

On the singular factor of a linear combination of holomorphic functions

Konstantin M. Dyakonov
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Abstract

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.

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Konstantin M. Dyakonov. 2012-10-01. On the singular factor of a linear combination of holomorphic functions. https://doi.org/10.1016/j.crma.2012.05.004

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