Range of the X-Ray Transform on Trees
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E.C. Tarabusi; J.M. Cohen; M.A. Picardello
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Article
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1994
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Elsevier Science
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English
โ 589 KB
The \(\mathrm{X}\)-ray transformation assigns to a function on a space the function induced on the geodesics by integration. We characterize the image of this transformation on trees (not necessarily homogeneous) in terms of algebraic and decay conditions. The case of finite support, or of finite tr