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FAST COMPUTATION OF PARTIAL FOURIER TRANSFORMS
fast Fourier transform multiscale decomposition butterfly algorithm fractional Fourier transform wave extrapolation
2015/7/14
This paper is concerned with the evaluation of the partial Fourier transform ux =|k|Nfk in one and two dimensions. The motivating application is the wave extrapolation procedure in ...
We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure. These transforms...
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/9/1
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
Restricting Fourier transforms of measures to curves in R^2
Fourier transforms of fractal measures Fourier restriction
2010/9/1
We establish estimates for restrictions to certain curves in R2 of the Fourier transforms of some fractal measures.
Heisenberg Uncertainty Principles for Some $q^2$-Analogue Fourier Transforms
Heisenberg inequality $q$-Fourier transforms
2008/5/20
The aim of this paper is to state -analogues of the Heisenberg uncertainty principles for some -analogue Fourier transforms introduced and studied in [7,8].