搜索结果: 1-15 共查到“differential operators”相关记录39条 . 查询时间(0.115 秒)
SOME SPECTRAL PROPERTIES OF PSEUDO-DIFFERENTIAL OPERATORS ON THE SIERPINSKI GASKET
Analysis on fractals localized eigenfunctions Sierpiński gasket Szego limit theorem
2015/12/10
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Ourresults used in a fundamental way the existence of loc...
BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
Consistent Approximations of Some Geometric Differential Operators and Their Convergences
Geometric Di erential Operators Consistent discretized approximations TriangularKey words:Surface Mesh Error Analysis
2012/8/8
The numerical integration of many geometric partial di erential equations involves
discrete approximations of several first- and second-order geometric di erential operators.
In this paper, we consi...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
Consistent Approximations of Some Geometric Differential Operators
Geometric Di甧rential Operators Consistent discretized approxima-tions Triangular Surface Mesh Error Analysis.
2012/8/8
The numerical integration of many geometric partial di甧rential equations in-
volve discrete approximations of some di甧rential geometric operators. In this
paper, we consider consistent discretized a...
Fast Computation of Common Left Multiples of Linear Ordinary Differential Operators
Algorithms complexity linear differential operators common left multiples
2013/9/3
We study tight bounds and fast algorithms for LCLMs of several linear differential operators with polynomial coefficients. We analyse the arithmetic complexity of existing algorithms for LCLMs, as wel...
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Linear differential equations nonlinear differential equations factorization
2011/9/20
Abstract: An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided.
In the particular case of second order linear and nonlinear PDEs and ...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
Weighted Local Orlicz-Hardy Spaces with Applications to Pseudo-differential Operators
Local Orlicz-Hardy Spaces Pseudo-differential Operators Classical Analysis and ODEs
2011/9/13
Abstract: Let $\Phi$ be a concave function on $(0,\infty)$ of strictly lower type $p_{\Phi}\in(0,1]$ and $\omega\in A^{\mathop\mathrm{loc}}_{\infty}(\mathbb{R}^n)$. We introduce the weighted local Orl...
Wavelet analysis on adeles and pseudo-differential operators
Adeles wavelets multiresolution analysis pseudo-differential operators fractional operator
2011/8/31
Abstract: This paper is devoted to wavelet analysis on adele ring $\bA$ and the theory of pseudo-differential operators. We develop the technique which gives the possibility to generalize finite-dimen...
Invariant Differential Operators on Siegel-Jacobi Space
invariants invariant differential operators Siegel-Jacobi space
2011/8/24
Abstract: For two positive integers $m$ and $n$, we let ${\mathbb H}_n$ be the Siegel upper half plane of degree $n$ and let ${\mathbb C}^{(m,n)}$ be the set of all $m\times n$ complex matrices. In th...
On rings of commuting partial differential operators
partial differential operators Algebraic Geometry
2011/7/27
Abstract: We give a natural generalization of the classification of commutative rings of ordinary differential operators, given in works of Krichever, Mumford, Mulase, and determine commutative rings ...
Manin triples and differential operators on quantum groups
Manin triples differential operators quantum groups
2011/1/18
Let (a,m, l) be a Manin triple, and let M, L be algebraic groups with Lie algebras m, l respectively. We point out that the product M×L carries a natural structure of Poisson manifold,whose Poisson te...
Algebra of differential operators associated with Young diagrams
Algebra of differential operators Young diagrams
2011/1/17
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...