Radon transforms on à n -buildings

In analogy with the setting of homogeneous, locally finite trees we introduce the Radon transforms on affine, locally finite buildings with diagram of type à n . We study the problem of the inversion of these transforms and in some cases we show how inversion algorithms and formulas are available.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2000-05, Vol.128 (3), p.425-439
1. Verfasser: ATANASI, LAURA
Format: Artikel
Sprache:eng
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Zusammenfassung:In analogy with the setting of homogeneous, locally finite trees we introduce the Radon transforms on affine, locally finite buildings with diagram of type à n . We study the problem of the inversion of these transforms and in some cases we show how inversion algorithms and formulas are available.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004199004272