Results 41 to 50 of about 2,667,749 (348)
Fast Computation of Singular Oscillatory Fourier Transforms
Abstract and Applied Analysis, 2014 We consider the problem of the numerical evaluation of singular oscillatory Fourier transforms ∫abx-aαb-xβf(x)eiωxdx, where α>-1 and β>-1. Based on substituting the original interval of integration by the paths of steepest descent, if f is analytic ...
Hongchao Kang, Xinping Shao
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A hyperkähler Fourier transform
Differential Geometry and its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOCCI, CLAUDIO +2 more
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On a relation between two-dimensional Fourier integrals and series of Hankel transforms
, 1965 Procedures are developed for expressing twodimensional Fourier transforms in terms of tabulated one-dimensional ...
Cornacchio J. V.; Soni, R. P.
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The Graphon Fourier Transform [PDF]
ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020 In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be redesigned. To address this, we consider graphons, which are both limit objects of convergent graph sequences and random ...
Luana Ruiz +2 more
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Efficient Algorithm for Finding Roots of Error-Locator Polynomials
IEEE Access, 2021 A novel method for finding roots of polynomials over finite fields has been proposed. This method is based on the cyclotomic discrete Fourier transform algorithm. The improvement is achieved by using the normalized cyclic convolutions, which have a small
Sergei Valentinovich Fedorenko
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
, 2012 In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
H. Bie
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis [PDF]
Royal Society Open Science, 2018 The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well known and widely used mathematical formulations for modelling and analysis of signals in various applications.
Pushpendra Singh
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Fractional cosine and sine transforms in relation to the fractional Fourier and Hartley transforms
, 2003 The fractional cosine and sine transforms - closely related to the fractional Fourier transform, which is now actively used in optics and signal processing, and to the fractional Hartley transform - are introduced and their main properties and possible ...
T. Alieva +5 more
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On q-analogues of the Fourier and Hankel transforms [PDF]
, 2012 For H. Exton's q-analogue of the Bessel function (going back to W. Hahn in a special case, but different from F. H. Jackson's q-Bessel functions) we derive Hansen-Lommel type orthogonality relations, which, by a symmetry, turn out to be equivalent to ...
T. Koornwinder, Rene F. Swarttouw
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