Übersetzung für 'Haar measure' von Englisch nach Deutsch

Haar measure

Haar'sches Maß {n}math.

• It can be constructed using the Haar measure of the additive group of the field.
• However, with a right instead of a left Haar measure, the latter integral is preferred over the former.
• More generally, locally compact groups have a rich theory of harmonic analysis, because they admit a natural notion of measure and integral, given by the Haar measure.
• The term refers to the null invariance of the measures of translates, associating it with the complete invariance found with Haar measure.
• The theory, introduced by Lev Pontryagin and combined with the Haar measure introduced by John von Neumann, André Weil and others depends on the theory of the dual group of a locally compact abelian group.

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• The Haar measure can be defined on any locally compact group and is a generalization of the Lebesgue measure (R"n" with addition is a locally compact group).
• Lebesgue measure on the real line is one of the simplest examples of a Haar measure on a locally compact group.
• A random orthogonal matrix is said to be distributed uniformly, if its distribution is the normalized Haar measure on the orthogonal group [...]; see Rotation matrix#Uniform random rotation matrices.