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In mathematics, a ''G''-measure is a measure that can be represented as the weak-∗ limit of a sequence of measurable functions . A classic example is the ''Riesz product'' : where . The weak-∗ limit of this product is a measure on the circle , in the sense that for : : where represents Haar measure. The ==History== It was Keane who first showed that Riesz products can be regarded as strong mixing invariant measure under the shift operator . These were later generalized by Brown and Dooley to Riesz products of the form : where . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「G-measure」の詳細全文を読む スポンサード リンク
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