Email this article The removability problem for functions with zero spherical means
- Authors: Volchkov V.V.1, Volchkova N.P.2
-
Affiliations:
- Donetsk National University
- Donetsk National Technical University
- Issue: Vol 58, No 3 (2017)
- Pages: 419-426
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171199
- DOI: https://doi.org/10.1134/S0037446617030065
- ID: 171199
Cite item
Open Access
Access granted
Subscription Access
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
About the authors
Vit. V. Volchkov
Donetsk National University
Author for correspondence.
Email: volna936@gmail.com
Ukraine, Donetsk
N. P. Volchkova
Donetsk National Technical University
Email: volna936@gmail.com
Ukraine, Donetsk
Supplementary files
