Pinsky_phenomenon
Pinsky phenomenon
Non-convergence in Fourier analysis
In mathematics, the Pinsky phenomenon is a result in Fourier analysis.[1] This phenomenon was discovered by Mark Pinsky of Northwestern University. It involves the spherical inversion of the Fourier transform. The phenomenon involves a lack of convergence at a point due to a discontinuity at boundary. This lack of convergence in the Pinsky phenomenon happens far away from the boundary of the discontinuity, rather than at the discontinuity itself seen in the Gibbs phenomenon. This non-local phenomenon is caused by a lensing effect.
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