Results 31 to 39 of about 245 (39)

Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]

open access: yes, 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
core  

$\mathscr{E}'$ as an algebra by multiplicative convolution

open access: yes, 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
core   +1 more source

A Sheaf of Boehmians

open access: yes, 2011
We show that Boehmians defined over open sets of $\mathbb{R}^N$ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over a topological space.Comment: 14 ...
Beardsley, Jonathan, Mikusinski, Piotr
core   +1 more source

Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R [PDF]

open access: yes, 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
core  

Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]

open access: yes, 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
core  

Modelling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography. [PDF]

open access: yesJ Inverse Ill Posed Probl, 2020
Kazantsev IG   +6 more
europepmc   +1 more source

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