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Asolution of Hilbert’s fourth problem leads to the integral equation which canbe called the generalized cosine equation. In the present paper, wepropose an inversion formula for the solution of the generalized cosineequation using integral and stochastic geometry methods.

KEYWORDS

Integral Geometry, Integral Equation, Finsler Metrics, Flag Density

Cite this paper

Aramyan, R. 2014 A Solution of Generalized Cosine Equation in Hilbert’s Fourth Problem. Advances in Pure Mathematics, 4, 234-241. doi: 10.4236-apm.2014.46031.





Autor: Rafik Aramyan

Fuente: http://www.scirp.org/



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