uncertainty principles for the Fourier transform with numerical aspect

Abstract

In this paper, we establish local uncertainty principle for the Fourier transform; and we deduce version of Heisenberg–Pauli–Weyl uncertainty principle. We use also the local uncertainty principle, the partial Fourier integrals and the techniques of Donoho–Stark, we present two uncertainty principles of concentration type in the theory, when . Some numerical applications are given.

Keywords:

• Fourier transform
• partial Fourier integrals
• local uncertainty principle
• Heisenberg–Pauli–Weyl uncertainty principle
• concentration uncertainty principles
• numerical aspect

AMS Subject Classifications:

• 42B10
• 44A20
• 46G12

Notes

No potential conflict of interest was reported by the authors.