On zeros of functions analytic in a half plane and completeness of systems of exponents

• Date: 1994
• Main Authors: Vynnyts’kyi, B. V., Винницкий, Б. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5712
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Sequences of zeros are described for functions $f$ analytic in the right halfplanc and satisfying the condition $|f(z)| \leq 0(1) \exp (\sigma|z|),\quad 0 \leq \sigma \leq \infty$ criterion of completeness of a system of exponentials in a space of functions analytic in a semistrip is established.