On uncertainty principles in the finite dimensional setting

Saifallah Ghobber; Philippe Jaming

hal-00368627, version 2

On uncertainty principles in the finite dimensional setting

Saifallah Ghobber () ^1, 2, Philippe Jaming () ^1, 3

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.

1: Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
2: Analyse harmonique et fonctions spéciales
Faculté des Sciences de Tunis
3: Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II

hal-00368627, version 2
http://hal.archives-ouvertes.fr/hal-00368627
oai:hal.archives-ouvertes.fr:hal-00368627
From: Philippe Jaming <>
Submitted on: Thursday, 9 September 2010 10:25:15
Updated on: Thursday, 9 September 2010 10:26:42

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arXiv: 0903.2923

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