On factorizing meromorphic functions.
On fractional iterates of a homeomorphism of the plane
We find all continuous iterative roots of nth order of a Sperner homeomorphism of the plane onto itself.
On functional equation ,
On functional equations associated with characters of unitary representations of groups.
On functional equations of complex powers.
On functional inequalities in a single variable [Book]
On functional inequalities originating from module Jordan left derivations.
On functional polynomials spanned by characters of unitary representations. (Summary).
On functions behaving like additive functions.
On Functions Defined by Iterations of Each Other.
On functions having Cauchy differences in some prescribed sets.
On Functions Satisfying a Generalized Mean Value Equation.
On functions with the Cauchy difference bounded by a functional. II.
On Functions with the Cauchy Difference Bounded by a Functional
K. Baron and Z. Kominek [2] have studied the functional inequality f(x+y) - f(x) - f(y) ≥ ϕ (x,y), x, y ∈ X, under the assumptions that X is a real linear space, ϕ is homogeneous with respect to the second variable and f satisfies certain regularity conditions. In particular, they have shown that ϕ is bilinear and symmetric and f has a representation of the form f(x) = ½ ϕ(x,x) + L(x) for x ∈ X, where L is a linear function. The purpose of the present...
On general and reproductive solutions of finite equations.
On general solutions of some functional equations.
On generalizations of the Pompeiu functional equation.
On generalized cocycle equations.
On generalized d'Alembert functional equation.
Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equationD(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G;where f: G → C to be determined is a measurable and essentially bounded function.
On generalized difference equations
In this paper linear difference equations with several independent variables are considered, whose solutions are functions defined on sets of -dimensional vectors with integer coordinates. These equations could be called partial difference equations. Existence and uniqueness theorems for these equations are formulated and proved, and interconnections of such results with the theory of linear multidimensional digital systems are investigated. Numerous examples show essential differences of the results...