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Range of the X-Ray Transform on Trees

✍ Scribed by E.C. Tarabusi; J.M. Cohen; M.A. Picardello

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 589 KB
Volume: 109
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1994.1084

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✦ Synopsis

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 trees, is obtained as a consequence. 1994 Academic Press, lnc.

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