Error estimates and extrapolation for the numerical solution of Mellin convolution equations [PDF]
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, A. +1 more
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Isometric properties of the Hankel transformation in weighted Sobolev spaces [PDF]
It is shown that the Hankel transformation H v acts in a class of weighted Sobolev spaces. Especially, the isometric mapping property of H v which holds on L ² is extended to spaces of arbitrary Sobolev order.
Hayrapetyan, Ruben G., Witt, Ingo
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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 +2 more
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DECISION-MAKING BASED ON FUZZY SAW METHOD AND MELLIN TRANSFORM [PDF]
W pracy przedstawiono zastosowanie transformaty Mellina do porównania liczb rozmytych będących wynikiem działania metody FSAW. Transformata Mellina wykorzystuje funkcję gęstości prawdopodobieństwa związanej z liczbą rozmytą, po uwzględnieniu ...
Rudnik, Katarzyna, Kacprzak, Dariusz
core
Appariement d'images visibles et proche infrarouge basé sur la transformée de Fourier-Mellin [PDF]
[Departement_IRSTEA]Ecotechnologies [TR1_IRSTEA]INSPIRE [TR2_IRSTEA]SYNERGIEInternational audienceThis manuscript presents a comprehensive methodology to register images taken from multiple cameras mounted on a UAV and triggered nearly simultaneously ...
Rabatel, Gilles, Labbé, Sylvain
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Light transformation: a celestial and Carrollian perspective
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 +2 more
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On the Relation Between Global Properties of Linear Difference and Differential Equations with Polynomial Coefficients, 1 [PDF]
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.
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Mellin-Fourier series and the classical Mellin transform
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
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
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INTEGRAL TRANSFORMATION IN A PARTIALLY BOUNDED REGION WITH A RADIAL THERMAL FLOW
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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