搜索结果: 1-15 共查到“理学 Toeplitz”相关记录53条 . 查询时间(0.066 秒)
On the asymptotics of a Toeplitz determinant with singularities
the asymptotics of a Toeplitz determinant singularities Functional Analysis
2012/6/25
We provide an alternative proof of the classical single-term asymptotics for Toeplitz determinants whose symbols possess Fisher-Hartwig singularities. We also relax the smoothness conditions on the re...
多变量的具有BMO符号的Toeplitz算子
Toeplitz算子 Bergman空间 Berezin变换
2011/10/26
紧算子的性质与有限维空间中的矩阵很类似，在积分方程和许多数学物理问题的研究中起着核心作用. 函数空间上的算子紧性一直是人们关注的问题.本文研究多变量的Bergman空间L^2_a上的具有BMO^1符号的Toeplitz算子, 并得出其紧性是由它符号的Berezin变换在边界上的行为来刻画.
本文主要构造了单位圆盘{D}上的一类无界函数，使得以它为符号的Toeplitz算子是紧的。同时，我们也构造了一类上的函数，它们在单位圆周上每一点的任何一个领域都无界，且以这些函数为符号的Toeplitz算子是迹类算子。
多圆盘上Bergman空间中具有无界符号的Toeplitz算子
Toeplitz算子 无界函数 Bergman 空间
2011/10/26
受曹广福教授和Josepha.Cima教授的文章的启发，研究多圆盘上Bergman空间中具有无界符号的Toeplitz算子的有界性、紧性及Hilbert-Schmidt性。
运用并行算法中分而治之的思想,给出了一种求解循环三对角Toeplitz线性方程组的分组降阶串行算法。与求解同类问题的传统算法相比,分组降阶算法的优点在于它不仅大幅度减少了内存占用量,而且还大幅度减少了算术运算量。分组降阶算法可以通过3个步骤来实现。第一步是分组降阶,其基本思路是将一个n=μm阶的方程组按行分成μ组,每组m个方程;n维解向量也对应地分成μ组。第二步是构造参数方程组,也就是依据三对角系...
Localization and Toeplitz Operators on Polyanalytic Fock Spaces
Localization operators polyanalytic Fock spaces Toeplitz operators Gel’fand-Shilov spaces
2011/9/19
Abstract: The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann...
Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Toeplitz operator harmonic Bergman space quasihomogeneous symbol Mellin transform
2011/9/15
Abstract: In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous To...
On Toeplitz localization operators
Short-time Fourier transform continuous wavelet transform Toeplitz operator pseudodifferential operator time-frequency localization operator algebra
2011/9/13
Abstract: We present a unified approach to study properties of Toeplitz localization operators based on the Calder\'on and Gabor reproducing formula. We show that these operators with functional symbo...
Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices
Sylvester matrices triangular toeplitz matrices Optimization and Control
2011/9/21
Abstract: In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity disc...
Sharp asymptotics for Toeplitz determinants, fluctuations and the gaussian free field on a Riemann surface
Sharp asymptotics fluctuations the gaussian free Riemann surface
2011/7/26
Abstract: We consider canonical determinantal point processes with N particles on a compact Riemann surface X defined with respect to the constant curvature metric and show that in the large N-limit t...
利用谱范数与 Frobenius 范数之间的不等式和 Toeplitz矩阵的表示式, 给出了关于 Fibonacci和Lucas数的 Toeplitz矩阵的谱范数的上界和下界, 并改进了 Akbulak M 等相关结论中谱范数的上界.
在单位球Sobolev空间中, 研究Dirichlet空间直交补上多重调和符号的对偶Toeplitz算子, 刻画了它的交换性, 并且给出了两个多重调和符号对偶Toeplitz算子乘积为对偶Toeplitz算子的充分必要条件。
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.