Results 1 to 10 of about 1,100,393 (352)
Optimal codomains for the Laplace operator and the product Laplace operator
Journal of Function Spaces and Applications, 2007 An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
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On odd Laplace operators [PDF]
Letters in Mathematical Physics, 2002 We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold $M$. We prove that the case of densities of weight 1/2 (half-densities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an ``orbit space'' of volume forms.
H. M. Khudaverdian +2 more
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Functions of the Laplace-Beltrami operator [PDF]
Journées équations aux dérivées partielles, 1996 Let \(M\) be a closed \(n\)-dimensional Riemannian manifold with metric \(g= (g_{ij})\) and let \(\Delta\) be the Laplace-Beltrami operator on \(M\). Consider further some additional symmetric linear differential operator \(\nu\) on \(M\) and let \(A_\nu\) be the square root of \(-\Delta+\nu\), defined in terms of pseudodifferential operators.
Yu. Safarov
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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
A.V. Iltyakov
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Geometry of differential operators and odd Laplace operators [PDF]
Russian Mathematical Surveys, 2003 We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary weights appear naturally in the course of study.
Th. Th. Voronov, H. M. Khudaverdian
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EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences, 1964 John Milnor
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Transmutation Operator Method for Solving Heat Conduction Problem [PDF]
EPJ Web of Conferences, 2021 The transmutation operator method is extended to the case of functions of two variables. The transmutation operator flattens the function, i.e. the transmutation operator replaces a function with discontinuous partial derivatives on the coordinate axes ...
Yaremko Oleg, Yaremko Natalia
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The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing [PDF]
Advances in Geodesy and Geoinformation, 2022 The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive ...
Ireneusz Winnicki +3 more
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The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters [PDF]
Advances in Geodesy and Geoinformation, 2022 The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used third-order 3x3 pixels Laplace contour filters including the difference schemes used ...
Ireneusz Winnicki +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2023 We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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