On Quasi-Conformal Functions of Several Complex Variables

Pseudo-Conformal Geometry of Polygenic Functions of Several Complex Variables.

Some inequalities in connection to relative orders of entire functions of several complex variables

Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

On Identical Vanishing of Holomorphic Functions in Several Complex Variables.

We will make some comment on the following recent result of J. J. Kohn. In the complex space Cn:(z1, . . . , zn) if fl, . . . , fn are holomorphic in the unit ball and have continuous boundary values on the boundary, and if on the boundary the linear combination 1fi+ + j,,f is 0, then the functions fl, . .. , f,, are identically 0. 1. We denote by D any bounded circular domain in C., by B its b...

Approximately generalized additive functions in several variables

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

Quasi-sums in Several Variables

In this note we introduce the notions of quasi-sums and of the local quasi-sums in several variables, respectively. We prove that the local quasi-sums are also quasi-sums. We show how this result can be applied to find the continuous solutions of the functional equation g(u11 + · · ·+ u1N , . . . , uM1 + · · ·+ uMN ) = f(g1(u11, . . . , uM1), . . . , gN (u1N , . . . , uMN )) that are strictly m...