MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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