Journal of Siberian Federal University. Mathematics & Physics / On the Multidimensional Boundary Analogue of the Morera Theorem

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (1)
Authors
Myslivets, Simona G.
Contact information
Myslivets, Simona G.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
one-dimensional holomorphic extension property; multidimensional variants of the Morera theorem
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

Pages
29–45
DOI
10.17516/1997-1397-2022-15-1-29-45
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/144954