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Toolbox for the Computation of 2D Fourier Transforms in Polar Coordinates via Maple
Journal of Open Research Software, 2015 The Fourier transform is one of the most useful tools in science and engineering and can be expanded to multi-dimensions and curvilinear coordinates. A toolbox of functions for the computation of two dimensional Fourier transforms in polar coordinates ...
Edem Dovlo, Natalie Baddour
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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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On the Fractional Derivative Duality in Some Transforms
Mathematics, 2023 Duality is one of the most interesting properties of the Laplace and Fourier transforms associated with the integer-order derivative. Here, we will generalize it for fractional derivatives and extend the results to the Mellin, Z and discrete-time Fourier
Manuel Duarte Ortigueira +1 more
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Estimation of Translation, Rotation, and Scaling between Noisy Images Using the Fourier–Mellin Transform [PDF]
, 2009 In this paper we focus on extended Euclidean registration of a set of noisy images. We provide an appropriate statistical model for this kind of registration problems, and a new criterion based on Fourier-type transforms is proposed to estimate the ...
Gamboa, Fabrice +2 more
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Higher Order Riesz Transforms for Fourier-Bessel Expansions [PDF]
, 2012 In this paper we investigate the Riesz transforms of order d ≥ 1, R d v, for Fourier-Bessel expansions. Weighted norm inequalities are proved for this operator.
Ciaurri, Ó. [0000-0002-1695-3311] +1 more
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Fourier and Laplace Transforms [PDF]
, 2003 This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena.
Beerends, R.J. +2 more
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Fourier transforms of Lipschitz functions on the hyperbolic plane H2
International Journal of Mathematics and Mathematical Sciences, 1998 The purpose of the present work is to study the order of magnitude of the Fourier transforms fˆ(λ) for large λ of complex-valued functions f(z) sating certain Lipschitz conditions in the non-Euclidean hyperbolic plane H2.
M. S. Younis
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +5 more
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Fourier transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1990 A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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