Results 71 to 80 of about 1,130,981 (257)
Laplace Operator and Polynomial Invariants
Journal of Algebra, 1998 Assume \(A\) is a simple finite dimensional algebra over the field of complex numbers \(F\) and let \(G=\Aut A\) be the group of automorphisms of \(A\). (Note that \(A\) need not be associative.) The paper under review considers such algebras \(A\) that are equipped with a nondegenerate symmetric associative bilinear form \(\langle x,y\rangle\) that is
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Some relations between fractional Laplace operators and Hessian operators
Bruno Pini Mathematical Analysis Seminar, 2011 After recalling the many representations of the fractional Laplace operator and some of its important properties, some recent results (proved in a joint work with Bruno Franchi and Igor Verbitsky) about the relations between the k-Hessian energy of the k-
Fausto Ferrari
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On the fractional Laplace-Bessel operator
AIMS MathematicsIn this paper, we propose a novel approach to the fractional power of the Laplace-Bessel operator $ \Delta_{\nu} $, defined as$ \Delta_{\nu} = \sum\limits_{i = 1}^{n}\frac{\partial^2}{\partial x_{i}^2} + \frac{\nu_i}{x_{i}}\frac{\partial}{\partial x_{i}}
Borhen Halouani, Fethi Bouzeffour
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Laplace operators on holomorphic Lie algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
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Тонкие химические технологии, 2013 The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation.
A. B. Chaadaev
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The Application of Abstract Algebra in Operational Calculus
Fractal and FractionalThis paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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[Three-dimensional reconstruction of femur based on Laplace operator and statistical shape model]. [PDF]
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2023 Zhang Z, Zhang X, Zhang Y, Jin Z.
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Hyperbolic double-complex Laplace operator
, 2012 2010 Mathematics Subject Classification: 35G35, 32A30, 30G35. In this paper is introduced the hyperbolic double-complex Laplace operator. The hyperbolic decomplexification of the hyperbolic doublecomplex Laplace operator and its characteristic set is found.
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Optical computation of the Laplace operator using phase-shifted Bragg grating.
Optics Express, 2014 Diffraction of a 3D optical beam on a multilayer phase-shifted Bragg grating (PSBG) is considered. It is shown that the PSBG enables optical computation of the spatial Laplace operator of the electromagnetic field components of the incident beam.
D. Bykov +3 more
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