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Injectivity Classes of the Pompeiu Transformation

New conditions for the injectivity of the Pompeiu transform for integral ball means are obtained. The main results substantially improve some known uniqueness theorems for functions with vanishing integrals over balls of fixed radius.

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Bibliographic Details
Date:	2012
Main Authors:	Ochakovskaya, O. A., Очаковская, О. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2690
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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