Integral transforms based on euler characerisic and their applications
Askold Georgievich Khovanskii, Alexander V. Pukhliskov · Integral Transforms and Special Functions · 1993
The basic notions and constructions of the theory of integration over the Euler characteristic are introduced and explained. A few examples from the theory of convex polytopes show usefulness of this non-classical integration. The analog of the Radon transform with respect to the Euler characteristic is constructed and illustrated by a topological example