Real Algebraic and Analytic Geometry Preprint Server

e-mail:

Submission: 2003, May 8.

Abstract:
By Euler integration we mean the integration of definable functions on IRⁿ against the Euler characteristic. We investigate the structure of the ring of all definable functions (with compact support respectively), the multiplication being defined by the convolution with respect to the Euler integration.

Mathematics Subject Classification (2000): 14P10, 53C65, 92C55.

Keywords and Phrases: Integral geometry, Radon transform, o-minimality.

Full text, 29p.: dvi 94k, ps.gz 202k, pdf 273k.