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تسجيل مستخدم جديدUncertainty product for Vilenkin groups
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We study a localization of functions defined on Vilenkin groups. To measure the localization we introduce two uncertainty products $UP_{lambda}$ and $UP_{G}$ that are similar to the Heisenberg uncertainty product. $UP_{lambda}$ and $UP_{G}$ differ from each other by the metric used for the Vilenkin group $G$. We discuss analogs of a quantitative uncertainty principle. Representations for $UP_{lambda}$ and $UP_{G}$ in terms of Walsh and Haar basis are given.
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