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arxiv: 1703.06473 · v2 · pith:IVCCF766new · submitted 2017-03-19 · 🧮 math.FA

A directional uncertainty principle for periodic functions

classification 🧮 math.FA
keywords periodicuncertaintydirectionalfunctionsmultivariateproductalongdirection
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In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions. It measures a localization of a function along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.

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