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A sharper uncertainty principle |
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| Authors: | Pei Dang Guan-Tie Deng Tao Qian |
| Institution: | 1. Department of General Education, Macau University of Science and Technology, Macao;2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China;3. Department of Mathematics, University of Macau, Macao |
| Abstract: | The work strengthens the result established by L. Cohen on uncertainty principle involving phase derivative. We propose stronger uncertainty principles not only in the classical setting for Fourier transform, but also for self-adjoint operators. We also deduce the conditions that give rise to the equal relation of the uncertainty principle. Examples are provided to show that the new uncertainty principle is truly sharper than the existing ones in literature. |
| Keywords: | Uncertainty principle Phase derivative Hardy spaces Sobolev spaces Self-adjoint operator |
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