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On uncertainty principles in the finite dimensional setting |
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| Authors: | Saifallah Ghobber Philippe Jaming |
| Institution: | a Université d’Orléans, Faculté des Sciences, MAPMO - Fédération Denis Poisson, BP 6759, F 45067 Orléans Cedex 2, France b Département Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, Campus Universitaire, 1060 Tunis, Tunisia |
| 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 more quantitative estimates. We then show how to transfer this result to the discrete version of the short time Fourier transform. |
| Keywords: | 42A68 42C20 |
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