The ring of normal densities, Gelfand transform and smooth BKK-type theorems

22 Jul 2019 · Akhiezer Dmitri, Kazarnovskii Boris ·

We suggest an algorithm allowing to obtain some new integral-geometric formulae from the existing formulae of Crofton type. These new formulae are applied to get smooth versions of BKK theorem. The algorithm is based on the calculations in the ring of normal densities on a manifold.