| A uniqueness result for the Fourier transform of measures on the paraboloid |
| Francisco Javier González Vieli |
Abstract A finite measure supported by a paraboloid of revolution $\Sigma$ in $\Bbb R^3$ and absolutely continuous with respect to the natural measure on $\Sigma$ is entirely determined by the restriction of its Fourier transform to a plane if and only if this plane is normal to the axis of $\Sigma$.
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Keywords: Heisenberg uniqueness; Fourier transform; measure; paraboloid |
MSC: 42B10, 46F12 |
Pages: 52$-$55 |
Volume 67 , Issue 1 , 2015 |
