Convolutional double copy in (anti) de Sitter space
The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions.
Qiuyue Liang, Silvia Nagy
doaj +1 more source
Registration of holographic images based on the integral transformation [PDF]
The paper describes the possibilities of using Fourier-Mellin transform for registering images of holographic interferograms. Registered holographic images will then allow automating their evaluation.
Pivarčiová, Elena, Božek, Pavol
core +1 more source
Wavelet filtering with the Mellin transform
8 pages in Plain ...
openaire +3 more sources
On the Whittaker Function Extended by the Fox–Wright Function and Its Properties
This paper aims to obtain the Ψηξ-extended Whittaker function and its integral representations. This function is defined by using the Ψηξ-confluent hypergeometric function, which was recently extended in terms of the Fox–Wright function.
Ulfat Ansari, Musharraf Ali, Dojin Kim
doaj +1 more source
The Inverse Mellin Transform Method for the Fragmentation Functions Based on the Efficient Approximations for the Contour of the Stationary Phase [PDF]
We apply the Mellin transformation method to the recovery form of the fragmentation function using two efficient approximations for the contour of the stationary phase. The first contour is of parabolic form and runs from the saddle point. A new approach is
Solovtsova, O. P. +2 more
core
Shadow celestial operator product expansions
The linearized massless wave equation in four-dimensional asymptotically flat spacetimes is known to admit two families of solutions that transform in highest-weight representations of the Lorentz group SL(2, ℂ).
Elizabeth Himwich, Monica Pate
doaj +1 more source
The spline collocation method for Mellin convolution equations [PDF]
We consider Mellin convolution equations with additional Cauchy kernel in weighted Lebesgue and Lebesgue-Sobolev spaces. They contain, as an important subclass, singular integral equations with fixed singularities.
Stuttgart Univ. (Germany). Sonderforschungsbereich 404 - Mehrfeldprobleme in der Kontinuumsmechanik +3 more
core
A hidden 2d CFT for self-dual Yang-Mills on the celestial sphere
Self-dual Yang-Mills theory admits an underlying infinite dimensional symmetry algebra, which has been obtained from mode expansion of Mellin transformed 4d scattering amplitudes and separately, Koszul duality on twistor space.
Wei Bu, Sean Seet
doaj +1 more source
Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities. [PDF]
Nazeer N, Asjad MI, Azam MK, Akgül A.
europepmc +1 more source
An algorithm for the approximate solution of integral equations of Mellin type [PDF]
The cruciform crack problem ofelasticity gives rise to an integral equation of the secondkind on [0,1] whose kernel has a fixed singularity at (0,0). We introduce a transformation of[0,1] onto itself such that an arbitrary numberof derivatives vanish at ...
Prossdorf, S (15476969) +1 more
core

