Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2026 19 (3)
- Authors
- Mardanov, Arslan P.; Tuychiev, Tahir T.; Tishabaev, Djurabay K.
- Contact information
- Mardanov, Arslan P. : Tashkent State Technical University named after Islam Karimov (Tashkent, Uzbekistan); https://orcid.org/ 0000-0002-4399-0708; Tuychiev, Tahir T. : National University of Uzbekistan named after Mirzo Ulugbek (Tashkent, Uzbekistan); https://orcid.org/ 0000-0001-8092-2432; Tishabaev, Djurabay K. : National University of Uzbekistan named after Mirzo Ulugbek (Tashkent, Uzbekistan); https://orcid.org/ 0000-0002-7428-3934
- Keywords
- plurisubharmonic function; singular point; nowhere dense set; power series; lacunary Hartogs series; series in homogeneous polynomials
- Abstract
This paper is devoted to multidimensional analogues of Ostrovsky’s theorem on lacunary series. The work examines the domains of existence of Hartogs lacunary series with Ostrovsky lacunae and series in homogeneous polynomials. Analogues of Ostrovsky’s theorem for such series are given and the domains of convergence of these series are described
- Pages
- 308–319
- EDN
- GYVXFS
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/158232
Journal of Siberian Federal University. Mathematics & Physics / On Multidimensional Lacunary Hartogs Series with Ostrovsky Lacunae
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