On the Multidimensional Boundary Analogue of the Morera Theorem
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Published:2022-01
Issue:1
Volume:15
Page:29-45
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ISSN:1997-1397
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Container-title:Journal of Siberian Federal University. Mathematics & Physics
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language:
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Short-container-title:J. Sib. Fed. Univ., Math. phys.
Author:
Myslivets Simona G.,
Abstract
We discuss functions with the one-dimensional holomorphic extension property along com- plex lines and curves and also boundary multidimensional variants of the Morera theorem. We show how integral representations can be applied to the study of analytic continuation of functions, in particular to multidimensional boundary analogues of the Morera theorems
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics