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On the measurability of sets of pairs of straight lines in the simply isotropic space

Margarita G. Spirova; Adrijan V. Borisov — 2005

Banach Center Publications

We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I ₃^{(1)}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.

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