An approach for distributional products on R m

CK Li - Integral Transforms and Special Functions, 2005 - Taylor & Francis
… a product is totally based on the fact that △δn is computable. However, it seems impossible
to deal with more general products involving △ … xi/rk is a locally summable function on Rm …

The products on the unit sphere and even-dimension spaces

CK Li - Journal of mathematical analysis and applications, 2005 - Elsevier
… −k · ∇(∆) by calculating the residue of rλ. His approach is … product f (r) · δ(k)(r − 1) on
Ω where f (x) is a differentiable function at x = 1, as well as to compute several new products

Several asymptotic products of particular distributions

CK Li - British Journal of Mathematics & Computer Science, 2013 - editor.journal7sub.com
… The problem of defining products of distributions is a difficult and not completely … product
of an infinitely differentiable function φ(x) and distribution △kδ(x) in Rn is well defined

The sequential approach to the product of distribution

CK Li - International Journal of Mathematics and Mathematical …, 2001 - Wiley Online Library
… a definition for a product of distributions using a delta sequence. However, δ2 as a product of
… The product r−k · △. The following δ-sequence was used by Fisher around 1969. Let ρ(x) …

A review on the products of distributions

CK Li - Mathematical methods in engineering, 2007 - Springer
… The problem of defining products of distributions has been … The inherent difficulties of
obtaining products have never … −k ·△ with the help of the well-known Pizetti’s formula. One …

Leptoquark model to explain the -physics anomalies, and

D Bečirević, S Fajfer, N Košnik, O Sumensari - Physical Review D, 2016 - APS
… 1=6 can lead to a simultaneous description of both RK and RD. Finally, we should also mention
… of RK and RDðÃÞ is not realistic and that accommodating the experimental value of RK

Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion

Y Leng, X Tian, N Trask, JT Foster - SIAM Journal on Numerical Analysis, 2021 - SIAM
… In section 3, we present the RK collocation method and work on linear interpolation order …
diffusion operator first. Taking u \in Sδ, ̂u(ξ) is the Fourier transform of u(x) defined by …

An algebraic characterization of the affine canonical basis

J Beck, V Chari, A Pressley - 1999 - projecteuclid.org
… ], where it was shown that they could be defined by a certain functional equation in terms of
… to the standard Hopf algebra structure and inner product on the ring of symmetric functions, …

Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere

R Mazzeo, N Smale - Journal of Differential Geometry, 1991 - projecteuclid.org
… examples here by analyzing perturbations of the product metric £0 of (1.1) on Ω = Sn\Sk … =
0, then the two approximate solutions are rk/1 and rkl2 log r. It may be shown that the solution …

Deforming soft algebras for gauge theory

W Melton, SA Narayanan, A Strominger - Journal of High Energy Physics, 2023 - Springer
Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of
higher-dimension Wilsonian corrections to the effective action. We study the simplest of these …