Results 81 to 90 of about 720 (219)

Celestial leaf amplitudes

Journal of High Energy Physics
Celestial amplitudes may be decomposed as weighted integrals of AdS3-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is smooth except for the
Walker Melton, Atul Sharma, Andrew Strominger   +2 more
doaj   +1 more source

Error estimates and extrapolation for the numerical solution of Mellin convolution equations

, 1996
In this paper we consider a quadrature method for the numerical solution of a second-kind integral equation over the interval, where the integral operator is a compact perturbation of a Mellin convolution operator.
Rathsfeld, Andreas
core   +1 more source

Light transformation: a celestial and Carrollian perspective

Journal of High Energy Physics
In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order ...
Sourish Banerjee, Rudranil Basu, Sayali Atul Bhatkar   +2 more
doaj   +1 more source

Visual based 3D CAD Retrieval using Fourier Mellin Transform

, 2008
International audienceOne of most widely used method for image analysis, reconstruction and retrieval is Fourier Mellin Transform (FMT) which is also invariant to similarity transformation.
Li, Xiaolan, Wagan, Asim Imdad, Afzal Godil, Asim Wagan, Xiaolan Li, Godil, Afzal   +5 more
core   +1 more source

On the Relation Between Global Properties of Linear Difference and Differential Equations with Polynomial Coefficients, 1 [PDF]

, 1994
This paper is concerned with applications of the Mellin transformation in the study of homogeneous linear differential and difference equations with polynomial coefficients.
IMMINK, GK, Immink, G.K.
core   +1 more source

Mellin-Fourier series and the classical Mellin transform

Computers & Mathematics with Applications, 2000
This is a continuation of the authors' work [J. Fourier Anal. Appl. 3, No. 4, 325-376 (1997; Zbl 0885.44004)]. Starting from the finite Mellin transformation which defines the Mellin-Fourier coefficients, they carry out a direct development of the Mellin-Fourier series, quite independent of the usual Fourier theory.
Butzer, P.L., Jansche, S.
openaire   +1 more source

Exact solution to a class of problems for the Burgers’ equation on bounded intervals

Partial Differential Equations in Applied Mathematics
In this study, we consider Burgers’ equation with fixed Dirichlet boundary conditions on generic bounded intervals. By employing the Hopf–Cole transformation and a recently established exact operational solution for linear reaction–diffusion equations ...
Kwassi Anani, Mensah Folly-Gbetoula
doaj   +1 more source

INTEGRAL TRANSFORMATION IN A PARTIALLY BOUNDED REGION WITH A RADIAL THERMAL FLOW

Тонкие химические технологии, 2018
A mathematical theory is developed for constructing integral transformations in a partially bounded region with a radial heat flow - a massive body bounded from the inside by a cylindrical cavity. Constructed: an integral transformation, the image of the
E. M. Kartashov
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THE MELLIN TRANSFORMATION: THEORY AND DIGITAL FILTER IMPLEMENTATION (HOMOMORPHIC SYSTEM, SAMPLING THEOREM, FOURIER TRANSFORM, SIGNAL PROCESSING)

, 1985
Scaled signal processing is an important task in human perception, where moderately scaled sounds or images are perceived as an identity. As an approach to this scaled signal processing problem, the Mellin transform is discussed.
GOH, SEMOON
core  

Convolutional double copy in (anti) de Sitter space

Journal of High Energy Physics
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