On the multidimensional boundary analogue of the Morera theorem

Simona G. Myslivets

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 29-45.

Résumé

We discuss functions with the one-dimensional holomorphic extension property along complex 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.

Détail

Keywords: one-dimensional holomorphic extension property, multidimensional variants of the Morera theorem.

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