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Volume 10, Issue 2, Article 38 |
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Beurling-Hörmander Uncertainty Principle for the Spherical Mean Operator
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Authors: |
N. Msehli, L.T. Rachdi, |
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Keywords:
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Uncertainty principle, Beurling-Hörmander theorem, Gelfand-Shilov theorem, Cowling-Price theorem, Fourier transform, Spherical mean operator. |
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Date Received:
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15/11/08 |
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Date Accepted:
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01/05/09 |
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Subject Codes: |
42B10, 43A32.
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Editors: |
John Michael Rassias, |
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Abstract: |
We establish the Beurling-Hörmander theorem for the Fourier transform connected with the spherical mean operator. Applying this result, we prove the Gelfand-Shilov and Cowling-Price type theorems for this transform.
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