On pseudoanalyticity of continuous functions with constant $σ$-extension

• Дата: 1993
• Автори: Bondar, A. V., Lukyanova, E. A., Бондарь, А. В., Лукьянова, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1993
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5832
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension.