On the iterated Stieltjes transform and its convolution with applications to singular integral equations [PDF]
arXiv, 2013 We consider mapping properties of the iterated Stieltjes transform, establishing its new relations with the iterated Hilbert transform (a singular integral) on the half-axis and proving the corresponding convolution and Titchmarsh's type theorems. Moreover, the obtained convolution method is applied to solve a new class of singular integral equations.
arxiv
Dunkl-spherical maximal function [PDF]
arXiv, 2013 In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.
arxiv
On Harmonic analysis associated with the hyper-Bessel operator on the complex plane [PDF]
arXiv, 2014 We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators.
arxiv
Modelling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography. [PDF]
J Inverse Ill Posed Probl, 2020 Kazantsev IG +6 more
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Partition of unity systems and B-splines [PDF]
arXiv, 2014 This paper presents the basic principles of partition of unity systems and B-splines. Analysis of these systems is performed using Fourier analysis, multi-resolution analysis, and wavelet analysis.
arxiv
Kendall random walk, Williamson transform and the corresponding Wiener-Hopf factorization [PDF]
arXiv, 2015 The paper gives some properties of hitting times and an analogue of the Wiener-Hopf factorization for the Kendall random walk. We show also that the Williamson transform is the best tool for problems connected with the Kendall generalized convolution.
arxiv
Some results on the Hardy space H1 associated with the Dunkl operators [PDF]
arXiv, 2015 In the present paper, we investigate in Dunkl analysis, the action of some fundamental operators on the atomic Hardy space H1.
arxiv
Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
J Math Neurosci, 2011 Faye G, Chossat P, Faugeras O.
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Theoretical analysis of J-transform decomposition method with applications of nonlinear ordinary differentialequations. [PDF]
Sci ProgObeidat NA, Rawashdeh MS, Al Smadi MN.
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