We prove that the linear combinations of functions have “few” singular inner factors, provided that the ʼs are suitably smooth up to the boundary, while in general this is no longer true.
On démontre que les combinaisons linéaires des fonctions possèdent « peu » de facteurs singuliers, à condition que les soient suffisamment lisses jusquʼau bord, mais que ceci nʼest pas vrai dans le cas général.
Accepted:
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Konstantin M. Dyakonov 1
@article{CRMATH_2012__350_9-10_465_0, author = {Konstantin M. Dyakonov}, title = {On the singular factor of a linear combination of holomorphic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {465--467}, publisher = {Elsevier}, volume = {350}, number = {9-10}, year = {2012}, doi = {10.1016/j.crma.2012.05.004}, language = {en}, }
Konstantin M. Dyakonov. On the singular factor of a linear combination of holomorphic functions. Comptes Rendus. Mathématique, Volume 350 (2012) no. 9-10, pp. 465-467. doi : 10.1016/j.crma.2012.05.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.05.004/
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