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Radon transform on affine buildings of rank three

Part of: Finite geometry and special incidence structures Integral transforms, operational calculus

Published online by Cambridge University Press:  09 April 2009

Laura Atanasi
Laura Atanasi
Affiliation:
Department of Mathematics, University of Rome ‘Tor Vergata’, 00135 Rome, Italy e-mail: [email protected]
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Abstract

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We 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.

MSC classification

Secondary: 51E24: Buildings and the geometry of diagrams 44A12: Radon transform
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 1 , February 1999 , pp. 66 - 89
Copyright
Copyright © Australian Mathematical Society 1999

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