On holomorphic functions on a strip in the complex plane

Mathematics – Complex Variables

Scientific paper

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12 pages, LaTeX

Scientific paper

Let $f$ be a holomorphic function on the strip $\{z\in C: -\alpha 0$, belonging to the class $H(\alpha,-\alpha;\epsilon)$ defined below. It is shown that there exist holomorphic functions $w_1$ on $\{z\in C: 0

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