Pseudoanalyticity of continuous functions with the ?-preservation of angles

• Datum: 1993
• Hauptverfasser: Bondar, A. V., Lukyanova, E. A., Бондарь, А. В., Лукьянова, Е. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5899
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The following theorem is proved: Every continuous function satisfying the condition $K'_{\sigma}$ is pseudo-analytic. The condition $K'_{\sigma}$ is a generalization of the Men'shov condition, well known in the theory of analytic functions.