Geodesic
An extremum problem related to Morera's theorem
Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 804-809.

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The property of being holomorphic is studied for a continuous function whose integrals over the boundaries of the triangles from a specified set are zero. The results substantially strengthen Morera's and Dzyadyk's well-known theorems. 
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V. V. Volchkov. An extremum problem related to Morera's theorem. Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 804-809. http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a1/

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