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Convergence of Infinite Composition of Entire Functions
Infinite Composition Entire Functions
2010/12/6
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
A solution is proposed for the problem of composition of ordinary generating functions.A new class of functions that provides a composition of ordinary generating functions is introduced; main theorem...
On the composition of quasiconvex functions and the transposition
Polyconvexity quasiconvexity rank-one convexity
2009/1/20
If $G:\mathbb{R}^{n\times m}\to\bar\mathbb{R}:=\mathbb{R}\cup\{+\infty\}$ is a convex, polyconvex or rank-one convex function, then the function $g:\mathbb{R}^{m\times n}\to\bar\mathbb{R}$ defined as ...
Essential Spectra of Composition Operators on the Space of Bounded Analytic Functions
Essential Spectra Bounded Analytic Functions Composition Operators
2010/2/25
In this small note we characterize the essential spectra of a class of composition operators on H\infty(H) of the upper half-plane H and on H\infty(D) of the unit disc D. These composition operators a...