# inner function

## inner function

[¦in·ər ′fəŋk·shən]
(mathematics)
A continuous open mapping of a topological space X into a topological space Y where the inverse image of each point in Y is zero dimensional.
References in periodicals archive ?
An inner function is an analytic function [phi] in D with [absolute value of [phi](z)] [less than or equal to] 1 and [absolute value of [phi]([e.
If [phi] is an inner function with [phi](0) = 0, then f(z) = [[summation].
2] if and only if there is some inner function [phi] with [phi](0) = 0 such that
The inner function 'F(u)' in the form '[phi]u' states that:
First, the truth-value of the logical product of the inner and outer functions is equal to the truth-value of the function that is constituted so that the argument of the inner function has the outer function as an attribute.
However, this is highly misleading, for in this case the inner function "Fu" in the first formula "F(Fu))" is equal to the "Fu" in the second formula.
But there is no doubt of his deep love for modern dance, which he views as allowing dancers to express themselves in movement, or, as he puts it, "to balance inner function, thought, and feeling with outer form.
Let us observe that the above problem is similar to the construction of the inner function (see [1,13,14,15]).
Aleksandrov: Existence of inner function in the unit ball.
Low, A Construction of Inner Functions on the Unit Ball in [C.
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