This is an announcement for the paper "Generalized cosine transforms and classes of star bodies" by Boris Rubin.
Abstract: The spherical Radon transform on the unit sphere can be regarded as a member of the analytic family of suitably normalized generalized cosine transforms. We derive new formulas for these transforms and apply them to study classes of intersections bodies in convex geometry.
Archive classification: Functional Analysis; Differential Geometry
Mathematics Subject Classification: 44A12
The source file(s), an_red.tex: 66611 bytes, is(are) stored in gzipped form as 0602540.gz with size 22kb. The corresponding postcript file has gzipped size 100kb.
Submitted from: borisr@math.lsu.edu
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http://front.math.ucdavis.edu/math.FA/0602540
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http://arXiv.org/abs/math.FA/0602540
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