39 citations · 215 across the 17 of their papers we have counts for
4 papers · 1 filter
Cheeger's Constant for the Gabor Transform and Ripples
Rima Alaifari, Ben Pineau, Mitchell A. Taylor +1
We discover a new instability mechanism for short-time Fourier transform phase retrieval which yields that for any reasonable window function in any dimension , the local st…
Stability estimates for the regularized inversion of the truncated Hilbert transform
Rima Alaifari, Michel Defrise, Alexander Katsevich
In limited data computerized tomography, the 2D or 3D problem can be reduced to a family of 1D problems using the differentiated backprojection (DBP) method. Each 1D problem consis…
Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap
Reema Al-Aifari, Michel Defrise, Alexander Katsevich
The truncated Hilbert transform with overlap is an operator that arises in tomographic reconstruction from limited data, more precisely in the method of Differentiated Back-P…
Lower bounds for the truncated Hilbert transform
Rima Alaifari, Lillian B. Pierce, Stefan Steinerberger
Given two intervals , we ask whether it is possible to reconstruct a real-valued function from knowing its Hilbert transform on . Wh…