Results 1 to 10 of about 7,665 (193)
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
doaj +3 more sources
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
openalex +5 more sources
Laplace Operator and Polynomial Invariants
Journal of Algebra, 1998 AbstractLetAbe a finite dimensional simple algebra (not necessarily associative) over the field of complex numbersC, and letGdenote the automorphism group Aut(A). Suppose thatAhas a symmetric nondegenerate associativeG-invariant bilinear form 〈x,y〉 and a compact real form, i.e., a subalgebraBoverRof dimension dimRB=dimCA, whereAis equal to the span ...
A.V. Iltyakov
openalex +3 more sources
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
openalex +4 more sources
Laplace operators on holomorphic Lie algebroids [PDF]
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
doaj +4 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source