Journal of Siberian Federal University. Mathematics & Physics / An Analogue of the Hartogs Lemma for R-Analytic Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (2)
Authors
Atamuratov, Alimardon A.; Tishabaev, Djurabay K.; Tuychiev, Takhir T.
Contact information
Atamuratov, Alimardon A.: V. I. Romanovsky Institute of Mathematics Tashkent, Uzbekistan; Urgench State University Urgench, Uzbekistan; OCRID: 0000-0003-2928-0694; Tishabaev, Djurabay K.: National University of Uzbekistan Tashkent, Uzbekistan; OCRID: 0000-0002-7428-3934; Tuychiev, Takhir T.: National University of Uzbekistan Tashkent, Uzbekistan; OCRID: 0000-0001-8092-2432
Keywords
R-analytic functions; holomorphic functions; plurisubharmonic functions; pluripolar sets; Hartogs series
Abstract

The paper is devoted to the problem of R-analytic continuation of functions of several real variables which admit R-analytic continuation along parallel sections. We prove an analogue of the well-known Hartogs lemma for R-analytic functions

Pages
194–198
DOI
10.17516/1997-1397-2022-15-2-194-198
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145171