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:
“A solitary traveler whom we saw perambulating in the distance loomed like a giant. He appeared to walk slouchingly, as if held up from above by straps under his shoulders, as much as supported by the plain below. Men and boys would have appeared alike at a little distance, there being no object by which to measure them. Indeed, to an inlander, the Cape landscape is a constant mirage.”
—Henry David Thoreau (1817–1862)