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The circle transform on trees

✍ Scribed by Enrico Casadio Tarabusi; Simon G. Gindikin; Massimo A. Picardello

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
184 KB
Volume
19
Category
Article
ISSN
0926-2245

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✦ Synopsis

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.

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