Revision as of 00:48, 7 December 2020 by Goeddes (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Examples

If a Haar measure is done on the topological group $ {\displaystyle (\mathbb {R} ,+)} $ (meaning the set is all real numbers and the binary operation is addition), the Haar measure takes the value of 1 on the closed interval from zero to one and is equal to a Lebesgue measure taken on the Borel subsets to all real numbers. This can be generalized to any dimension.

If the group G is all nonzero real numbers, then the Haar measure is given by $ \mu (S)=\int _{S}{\frac {1}{|t|}}\,dt $

Alumni Liaison

EISL lab graduate

Mu Qiao