A Morera type theorem in the strip
Alexander Tumanov
我们证明了下面的结果。设f是复平面上闭无限条上的连续函数。假设f对内接于带的每个圆的限制在圆内全纯延伸。则f在开带上是全纯的。
We prove the following result. Let f be a continuous function in the closed infinite strip in complex plane. Suppose the restriction of f to every circle inscribed in the strip extends holomorphically inside the circle. Then f is holomorphic in the open strip.
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