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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 543–552
DOI: https://doi.org/10.17377/smzh.2017.58.306 (Mi smj2879) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The removability problem for functions with zero spherical means

Vit. V. Volchkova, N. P. Volchkovab

a Donetsk National University, Donetsk, Ukraine
b Donetsk National Technical University, Donetsk, Ukraine
Full-text PDF (295 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2017.58.306
Abstract: We study the functions on the punctured $n$-dimensional sphere having zero integrals over all admissible “hemispheres”. We find a condition for the point to be a removable set for this class of functions and show that the condition cannot be dropped or substantially improved.
Keywords: spherical means, Funk transform, Legendre functions.
Received: 18.03.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 419–426
DOI: https://doi.org/10.1134/S0037446617030065
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 35R30
Language: Russian
Citation: Vit. V. Volchkov, N. P. Volchkova, “The removability problem for functions with zero spherical means”, Sibirsk. Mat. Zh., 58:3 (2017), 543–552; Siberian Math. J., 58:3 (2017), 419–426
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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