Email this article On Functions with Zero Integral Moments over Balls of Fixed Radius
- Authors: Volchkov V.V.1, Volchkov V.V.1
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Affiliations:
- Donetsk National University
- Issue: Vol 97, No 3 (2018)
- Pages: 258-261
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225508
- DOI: https://doi.org/10.1134/S1064562418030213
- ID: 225508
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Abstract
We consider precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. The case where, together with zero integrals for f over congruent balls, the functions xjf for all j have zero integrals over these balls is completely investigated. An inversion formula recovering a function in the class C∞ from indicated integral moments is derived.
About the authors
V. V. Volchkov
Donetsk National University
Author for correspondence.
Email: valeriyvolchkov@gmail.com
Ukraine, Donetsk, 83053
Vit. V. Volchkov
Donetsk National University
Email: valeriyvolchkov@gmail.com
Ukraine, Donetsk, 83053
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