Results 1 to 10 of about 153 (29)
An unusual identity for odd-powers [PDF]
, 2021 In this manuscript we provide a new polynomial pattern. This pattern allows to find a polynomial expansion of the form \[x^{2m+1} = \sum_{k=1}^{x}\sum_{r=0}^{m} \mathbf{A}_{m,r} k^r (x-k)^r,\] where $x,m\in\mathbb{N}$ and $\mathbf{A}_{m,r}$ is real coefficient.
arxiv +1 more source
The ridgelet transform of distributions [PDF]
Integral Transforms Spec. Funct. 25 (2014), 344-358, 2013 We define and study the ridgelet transform of (Lizorkin) distributions. We establish connections with the Radon and wavelet transforms.
arxiv +1 more source
Endpoint bounds for a generalized {R}adon transform [PDF]
, 2009 We prove that convolution with affine arclength measure on the curve parametrized by $h(t) := (t,t^2,...,t^n)$ is a bounded operator from $L^p(\mathbb{R}^n)$ to $L^q(\mathbb{R}^n)$ for the full conjectured range of exponents, improving on a result due to M. Christ. We also obtain nearly sharp Lorentz space bounds.
arxiv +1 more source
The Integral Transform of N.I.Akhiezer [PDF]
arXiv, 2017 We study the integral transform which appeared in a different form in Akhiezer's textbook "Lectures on Integral Transforms".
arxiv
On the half-Hartley transform, its iteration and composition with Fourier transforms [PDF]
arXiv, 2014 Employing the generalized Parseval equality for the Mellin transform and elementary trigonometric formulas, the iterated Hartley transform on the nonnegative half-axis (the iterated half-Hartley transform) is investigated in L_2. Mapping and inversion properties are discussed, its relationship with the iterated Stieltjes transform is established ...
arxiv
Hypoelliptic Dunkl equations in the space of distributions on $R^d$ [PDF]
arXiv, 2005 In this paper we define and study the Dunkl convolution product and the Dunkl transform on spaces of distributions on $ \mathbb{R}^d$. By using the main results obtained, we study the hypoelliptic Dunkl convolution equations in the space of distributions.
arxiv
Uncertainty Principle Inequalities Related to Laguerre-Bessel Transform [PDF]
arXiv, 2011 In this paper, an analogous of Heisenberg inequality is established for Laguerre-Bessel transform.
arxiv
Ann.Polon.Math. 107 (2013) no.3 293-307, 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.
arxiv
Weighted norm inequalities for convolution and Riesz potential [PDF]
arXiv, 2013 In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.
arxiv
Linear Canonical Transform On Boehmian Space [PDF]
arXiv, 2017 The aim of this paper is to constructs Boehmian space, the linear canonical transform for Boehmians is define and to study its properties.
arxiv