2019
Том 71
№ 11

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

Vynnyts’kyi B. V.

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 514-532.

Citation Example: Vynnyts’kyi B. V. On zeros of functions analytic in a half plane and completeness of systems of exponents // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 484–500.

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