;u(x) e~<x'~> dx, Estimates for the Fourier transform of the characteristic function of a convex set

proved two useful estimates for the Fourier transform in the space of square integral multivariable functions on certain classes of functions characterized by the generalized

Abstract In this paper, we prove two estimates useful in applications for the Fourier trans- form in the space L p ( R n ), 1 &lt; p ≤ 2, as applied to some classes of

The solver that we construct has the following algorithmic properties: first, it preserves the efficiency of standard FFT algorithm; then, the storage cost is independent of

In particular, estimates (3.10), (3.11) and (3.12) (with ν = 1) should be compared with the results on the monochromatic inverse scattering problem obtained by H¨ ahner, Hohage

The Fourier transform of the Boltzmann collision integral for a gas of Maxwell molecules is calculated explicitly for the bimodal distribution proposed by Mott-Smith for the shock

Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation.. Nonparametric regression estimation of

produced ~pectrum exhibits a bifurcation structure created by the number of figures contained in the frequency of the tran~ition modulating wave.. The longer the fractional part of

Compute the Fourier transform of the response function χ(ω).. Analyse the poles of this function e (for the