Abstract
AbstractWe define the Radon transform for functions on the set of chambers of affine, locally finite, rank three buildings. We investigate the problem of the inversion of this transform. Explicit inversion formulas are exhibited for functions which fulfill required summability conditions.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference12 articles.
1. [2] Atanasi L. , Trasformate di Radon su edifici affini, Tesi di dottorato, Università di Roma ‘La Sapienza’, 1996.
2. Reflection Groups and Coxeter Groups
3. Buildings
4. [10] Steger T. , personal communication.
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