Тип публикации: статья из журнала
Год издания: 2022
Идентификатор DOI: 10.17516/1997-1397-2022-15-1-29-45
Ключевые слова: one-dimensional holomorphic extension property, multidimensional variants of the morera theorem
Аннотация: 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 oПоказать полностьюf the Morera theorems. 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. © Siberian Federal University. All rights reserved.
Журнал: JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS
Выпуск журнала: Vol. 15, Is. 1
Номера страниц: 29-45
ISSN журнала: 19971397
Место издания: KRASNOYARSK
Издатель: SIBERIAN FEDERAL UNIV