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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 ...
The variety of definitions of Fourier transforms can create confusion for practical applications. This paper examines the choice of formulas for Fourier transforms and determines the appropriate choic...
Abstract: It is suggest that a new fractal model for the Yang-Fourier transforms of discrete approximation based on local fractional calculus and the Discrete Yang-Fourier transforms are investigated ...
Abstract: Yang-Fourier transform is derived from local fractional calculus. This paper presents a generalized model for Yang-Fourier transform in fractal space and some results are investigated in det...
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...
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. ...
We establish estimates for restrictions to certain curves in R2 of the Fourier transforms of some fractal measures.
DISCRETE FOURIER TRANSFORMS OF THE SERIES WITH RANDOMLY MISSED DATA:EXPERIMENTAL TESTS
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].

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