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Volume 9, Issue 3, Article 88 |
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Heisenberg-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
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Authors: |
S. Omri, L.T. Rachdi, |
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Keywords:
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Heisenberg-Pauli-Weyl Inequality, Riemann-Liouville operator, Fourier transform, local uncertainty principle. |
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Date Received:
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29/03/08 |
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Date Accepted:
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08/08/08 |
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Subject Codes: |
42B10, 33C45.
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Editors: |
John Michael Rassias, |
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Abstract: |
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncertainty principle is studied.
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