TITLE:
A Solution of Generalized Cosine Equation in Hilbert’s Fourth Problem
AUTHORS:
Rafik Aramyan
KEYWORDS:
Integral Geometry, Integral Equation, Finsler Metrics, Flag Density
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.6,
June
6,
2014
ABSTRACT: A
solution of Hilbert’s fourth problem leads to the integral equation which can
be called the generalized cosine equation. In the present paper, we
propose an inversion formula for the solution of the generalized cosine
equation using integral and stochastic geometry methods.