Real Algebraic and Analytic Geometry |

Euler integration and Euler multiplication.

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Submission: 2003, May 8.

*Abstract:
By Euler integration we mean the integration of definable functions on IR^{n}
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.

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