We consider the overdetermined problem of integral geometry on trees given by the transform that integrates functions on a tree over circles, and exhibit difference equations that describe the range. We then show how this problem modifies if we restrict the transform to some natural subcomplex of the complex of circles, proving inversion formulas and characterizing ranges. (C) 2003 Elsevier B.V. All rights reserved.

Casadio Tarabusi, E., Gindikin, S.g., & Picardello, A.m. (2003). The circle transform on trees. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 19(3), 295-305 [10.1016/S0926-2245(03)00036-6].

The circle transform on trees

Picardello A. M.
2003

Abstract

We consider the overdetermined problem of integral geometry on trees given by the transform that integrates functions on a tree over circles, and exhibit difference equations that describe the range. We then show how this problem modifies if we restrict the transform to some natural subcomplex of the complex of circles, proving inversion formulas and characterizing ranges. (C) 2003 Elsevier B.V. All rights reserved.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - Analisi Matematica
eng
radon transform; trees; circles
Casadio Tarabusi, E., Gindikin, S.g., & Picardello, A.m. (2003). The circle transform on trees. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 19(3), 295-305 [10.1016/S0926-2245(03)00036-6].
Casadio Tarabusi, E; Gindikin, Sg; Picardello, Am
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/214662
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