On the link between Binomial Theorem and Discrete Convolution of Polynomials
, 2020 Let $\mathbf{P}^{m}_{b}(x), \; m\in\mathbb{N}$ be a $2m+1$-degree integer-valued polynomial in $b,x\in\mathbb{R}$. In this manuscript we show that Binomial theorem is partial case of polynomial $\mathbf{P}^{m}_{b}(x)$. Furthermore, by means of $\mathbf{P}
Kolosov, Petro
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Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]
, 2012 In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
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$\mathscr{E}'$ as an algebra by multiplicative convolution
, 2018 We study the algebra $\mathscr{E}'(\mathbb{R}^d)$ equipped with the multiplication $(T\star S)(f)=T_x(S_y(f(xy))$ where $xy=(x_1y_1,\dots,x_dy_d)$.
Vogt, Dietmar
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Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R [PDF]
, 2006 2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh
Ben Salem, N. +2 more
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Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]
, 2012 MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Dimovski, Ivan, Tsankov, Yulian
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]
Entropy (Basel), 2022 Srivastava HM +3 more
europepmc +1 more source
Modelling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography. [PDF]
J Inverse Ill Posed Probl, 2020 Kazantsev IG +6 more
europepmc +1 more source
Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
J Math Neurosci, 2011 Faye G, Chossat P, Faugeras O.
europepmc +1 more source
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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