Function Composition - Composition Operator

Given a function g, the composition operator is defined as that operator which maps functions to functions as

Composition operators are studied in the field of operator theory.

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Famous quotes containing the word composition:

    I live in the angle of a leaden wall, into whose composition was poured a little alloy of bell-metal. Often, in the repose of my mid-day, there reaches my ears a confused tintinnabulum from without. It is the noise of my contemporaries.
    Henry David Thoreau (1817–1862)