The Kac-Moody correction factor, first studied by Macdonald in the affine case, corrects failure of an identity found finite-dimensional root systems 1972. Subsequntly this factor appeared several formulas or analogue p-adic spherical theory for reductive groups. In article we view inverse as a function, prove convergency and holomorphy function on complexified Tits cone.

Recently, several authors have studied maps where a function, describing the local diffusion matrix of a diffusion process with a linear drift towards an attraction point, is mapped into the average of that function with respect to the unique invariant measure of the diffusion process, as a function of the attraction point. Such mappings arise in the analysis of infinite systems of diffusions i...

We deal with a class of generalized fractional programming problems having a polyhedral feasible region and as objective the ratio of an affine function and the power p > 0 of an affine one. We aim to propose simplex-like sequential methods for finding the global maximum points. As the objective function may have local maximum points not global, we analyze the theoretical properties of the prob...