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arXiv · 1311.4065

Uncertainty Principle for the Cantor Dyadic Group

Aleksander V. Krivoshein·Elena A. Lebedeva
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Abstract

We introduce a notion of localization for dyadic functions, i.e. functions defined on the Cantor group. Localization is characterized by functional $UC_d$ similar to the Heisenberg uncertainty constant used for real-line functions. We are looking for dyadic analogs of quantitative uncertainty principles. To justify definition we use some test functions including dyadic scaling and wavelet functions.

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Aleksander V. Krivoshein, Elena A. Lebedeva. 2013-11-16. Uncertainty Principle for the Cantor Dyadic Group. https://arxiv.org/abs/1311.4065

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