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arXiv · 0903.2923

On uncertainty principles in the finite dimensional setting

Saifallah Ghobber·Philippe Jaming
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Abstract

The aim of this paper is to prove an uncertainty principle for the representation of a vector in two bases. Our result extends previously known qualitative uncertainty principles into quantitative estimates. We then show how to transfer this result to the discrete version of the Short Time Fourier Transform. An application to trigonometric polynomials is also given.

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Saifallah Ghobber, Philippe Jaming. 2009-03-17. On uncertainty principles in the finite dimensional setting. https://doi.org/10.1016/j.laa.2011.01.038

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