Haar Measure

In mathematical analysis, the Haar measure is a way to assign an "invariant volume" to subsets of locally compact topological groups and subsequently define an integral for functions on those groups.

This measure was introduced by Alfréd Haar in 1933. Haar measures are used in many parts of analysis and number theory, group theory, representation theory, estimation theory and ergodic theory.

Read more about Haar Measure:  Preliminaries, Haar's Theorem, The Right Haar Measure, Haar Integral, Examples, Uses, The Modular Function

Famous quotes containing the word measure:

    “In abnormal times like our own, when institutions are changing rapidly in several directions at once and the traditional framework of society has broken down, it becomes more and more difficult to measure any type of behavior against any other.”
    —John Dos Passos (1896–1970)