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arXiv · 1703.06473

A directional uncertainty principle for periodic functions

A. Krivoshein·E. Lebedeva·J. Prestin
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Abstract

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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BibTeXRIS

A. Krivoshein, E. Lebedeva, J. Prestin. 2018-08-29. A directional uncertainty principle for periodic functions. https://doi.org/10.1007/s11045-018-0613-1

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