This article is cited in 8 papers

Injectivity sets of the Pompeiu transform

V. V. Volchkov

Donetsk National University

Abstract: The problem of the description of the injectivity sets of the Pompeiu transform $\mathscr P_\varphi$ is solved for a broad class of distributions $\varphi$ with support on the unit sphere.

UDC: 517.5

MSC: Primary 44A35, 53C65; Secondary 46F12

Received: 05.05.1998 and 23.08.1999

DOI: 10.4213/sm439

 English version: Sbornik: Mathematics, 1999, 190:11, 1607–1622

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