This article is cited in 9 papers

An extremum problem related to Morera's theorem

V. V. Volchkov

Donetsk National University

Abstract: 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.

UDC: 517.5

Received: 08.09.1994

DOI: 10.4213/mzm1898

 English version: Mathematical Notes, 1996, 60:6, 606–610

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