The 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. (C) 1994 Academic Press, Inc.
RANGE OF THE X-RAY TRANSFORM ON TREES / CASADIO TARABUSI, Enrico; J. M., Cohen; M. A., Picardello. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 109:2(1994), pp. 153-167. [10.1006/aima.1994.1084]
RANGE OF THE X-RAY TRANSFORM ON TREES
CASADIO TARABUSI, Enrico;
1994
Abstract
The 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. (C) 1994 Academic Press, Inc.File allegati a questo prodotto
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