Results 21 to 30 of about 99,331 (262)
Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix [PDF]
, 1997 Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-
A. G. Izergin +15 more
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Correlation between Convolution Kernel Function and Error Function of Bone Fractal Operators
Fractal and Fractional, 2023 This article studies the convolutional kernel function of fractal operators in bone fibers. On the basis of the micro-nano composite structure of compact bone, we abstracted the physical fractal space of bone fibers and derived the fractal operators. The
Zhimo Jian +4 more
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Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]
, 2019 This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro +2 more
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Sinc-Approximations of Fractional Operators: A Computing Approach
Mathematics, 2015 We discuss a new approach to represent fractional operators by Sinc approximation using convolution integrals. A spin off of the convolution representation is an effective inverse Laplace transform.
Gerd Baumann, Frank Stenger
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Boundedness of multilinear operators on Triebel-Lizorkin spaces
International Journal of Mathematics and Mathematical Sciences, 2004 The purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators.
Liu Lanzhe
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting
International Journal of Mathematics and Mathematical Sciences, 2010 We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.
A. Gasmi, F. Soltani
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Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]
, 2014 In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev +29 more
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Convolution Integral Operators
Siberian Mathematical Journal, 2018 The author considers the space $L_2:=L_2(\mathbb{R}^N)$ consisting of the measurable and square-integrable functions on $\mathbb{R}^{N}$. As in the work by \textit{L. Hörmander} [Acta Math. 104, 93--140 (1960; Zbl 0093.11402)], the author considers the space $L_2^2$ being the set of all continuous linear operators in $L_2$ which commute with shifts ...
openaire +2 more sources
On Mellin convolution operators in Bessel potential spaces
, 2015 Mellin convolution equations acting in Bessel potential spaces are considered. The study is based upon two results. The first one concerns the interaction of Mellin convolutions and Bessel potential operators (BPOs).
Didenko, V. D., Duduchava, R.
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