搜索结果: 1-15 共查到“数理逻辑与数学基础 operators”相关记录18条 . 查询时间(0.093 秒)
A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
Levinson's theorem and higher degree traces for Aharonov-Bohm operators
Aharonov-Bohm operators scattering theory wave operators index theorem
2011/2/21
We study Levinson type theorems for the family of Aharonov-Bohm models from different
perspectives. The first one is purely analytical involving the explicit calculation of the waveoperators and allo...
We introduce the notion of joint torsion for several commuting operators satisfying a Fredholm condition. This new secondary invariant takes values in the group of invertibles of a field. It is const...
A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{so}(8,\mathbb{C})$
Conformally Invariant math
2010/11/9
In earlier work, Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to Heisenberg parabolic subalgebras in simple Lie algebras. The...
On the finiteness of the Morse Index for Schrödinger operators
the Morse Index Schrö dinger operators
2010/11/19
Let H=$\Delta +V$ be a Schr\"odinger on a complete non-compact manifold. It is known since the work of Fischer-Colbrie and Schoen that the finiteness of the negative spectrum of $H$ implies the exist...
This article is about a problem in the numerical analysis of random operators. We study a version of the finite section method for the approximate solution of equations $Ax=b$ in infinitely many varia...
A characterization of compact operators via the non-connectedness of the attractors of a family of IFSs
compact operators the non-connectedness family of IFSs
2010/11/8
In this paper we present a result which establishes a connection between the theory of compact operators and the theory of iterated function systems. For a Banach space X, S and T bounded linear oper...
For a Radon measure $\mu$ on $\bbR,$ we show that $L^{\infty}(\mu)$ is invariant under the group of translation operators $T_t(f)(x) = {$f(x-t)$}\ (t \in \bbR)$ if and only if $\mu$ is equivalent to ...
Weyl theorems for the polluted set of self-adjoint operators in Galerkin approximations
Weyl theorems self-adjoint operators Galerkin approximations
2010/11/22
Let A be a self-adjoint operator on a separable Hilbert space H and let (L_n) be a sequence of finite dimensional subspaces of the domain of A, approximating H in the large n limit. Denote by A_n the...
Calderón-Zygmund operators related to Jacobi expansions
Calderón-Zygmund operators Jacobi expansions
2010/11/22
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary powers of the Jacobi operator, the Jacobi-Poisson semigroup maximal oper...
Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a mild smoothness con...
We describe explicitly Lie superalgebra isomorphisms between the Lie superalgebras of first-order superdifferential operators on supermanifolds, showing in particular that any such isomorphism induce...
On the wave operators and Levinson's theorem for potential scattering in R^3
wave operators Levinson's theorem potential scattering
2010/12/13
The paper is a presentation of recent investigations on potential scattering in R3. We advocate a new formula for the wave operators and deduce the various outcomes that follow
from this formula. A t...
New Reductions and Nonlinear Systems for 2D Schrodinger Operators
Nonlinear Systems Dubrovin, I.Krichever, S.Novikov 2D Schrodinger Operators
2010/4/1
New Completely Integrable (2+1)-System is studied. It is based on the so-called L-A-B-triples $L_t=[H,L]-fL$ where L is a 2D Schrodinger Operator. This approach was invented by S.Manakov and B.Dubrovi...
Perturbation of Closed Range Operators
Hilbert space perturbation Hyers--Ulam stability closed operator semi-Fredholm operator
2010/2/25
Let T, A be operators with domains D(T) \subseteq D(A) in a normed space X. The operator A is called T-bounded if |Ax|\leq a|x|+b|Tx| for some a, b\geq 0 and all x \in D(T). If A has the Hyers--Ulam s...