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141.
142.
On the torus group, on the group of p-adic integers, and on the p-adic solenoid, we give a construction of an arbitrary weakly infinitely divisible probability measure using a random element
with values in a product of (possibly infinitely many) subgroups of ℝ. As a special case of our results, we have a new construction
of the Haar measure on the p-adic solenoid. 相似文献
143.
帧转移型CCD传感器在拍摄星空背景图像时,视场中高亮度恒星会产生Smear现象,从而对目标检测有严重影响.为了消除Smear现象,提出了一种星图中基于小波变换的Smear消除方法.首先根据Smear产生机理及星空图像特性,建立星图Smear问题的模型|然后使用多层二维Haar小波分解,把Smear亮线分离到低频分量及高频垂直分量中分别进行Smear消除处理|最后重构出消除Smear的图像.实验结果表明:该方法能有效去除Smear,最大限度保留图像原有信息,并可增强Smear区域弱小目标信噪比. 相似文献
144.
Adam Oseçkowski 《Mathematische Nachrichten》2012,285(7):794-807
For any $1\leq p,\,q<\infty$, we determine the optimal constant $C_{p,q}$ such that the following holds. If $(h_k)_{k\geq 0}$ is the Haar system on [0,1], then for any vectors ak from a separable Hilbert space $\mathcal{H}$ and $\varepsilon_k\in \{-1,1\}$, $k=0,\,1,\,2,\ldots,$ we have This is generalized to the sharp weak‐type inequality where X, Y stand for $\mathcal{H}$‐valued martingales such that Y is differentially subordinate to X. 相似文献
145.
In this note we shall give a characterization of Lipschitz spaces on spaces of homogeneous type via Haar coefficients. 相似文献
146.
Marek Niezgoda 《Journal of Mathematical Analysis and Applications》2008,338(2):1482-1488
We study the difference of two orthogonal projectors induced by compact groups of linear operators acting on a vector space. An upper bound for the difference is derived using the Haar measures of the groups. A particular attention is paid to finite groups. Some applications are given for complex matrices and unitarily invariant norms. Majorization inequalities of Fan and Hoffmann and of Causey are rediscovered. 相似文献
147.
A. P. Solodov 《Mathematical Notes》2005,78(1-2):258-263
We generalize the construction proposed by A. Paskiewich of an example of an orthonormal system which establishes the sharpness of the Men’shov-Rademacher theorem. The connection of his example with that of Men’shov is elucidated.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 286–291.Original Russian Text Copyright © 2005 by A. P. Solodov. 相似文献
148.
We extend the relation between random matrices and free probability theory from the level of expectations to the level of fluctuations. We show how the concept of “second order freeness”, which was introduced in Part I, allows one to understand global fluctuations of Haar distributed unitary random matrices. In particular, independence between the unitary ensemble and another ensemble goes in the large N limit over into asymptotic second order freeness. Two important consequences of our general theory are: (i) we obtain a natural generalization of a theorem of Diaconis and Shahshahani to the case of several independent unitary matrices; (ii) we can show that global fluctuations in unitarily invariant multi-matrix models are not universal. 相似文献
149.
Sourav Chatterjee 《Journal of Functional Analysis》2007,245(2):379-389
We show that the mixing times of random walks on compact groups can be used to obtain concentration inequalities for the respective Haar measures. As an application, we derive a concentration inequality for the empirical distribution of eigenvalues of sums of random Hermitian matrices, with possible applications in free probability. The advantage over existing techniques is that the new method can deal with functions that are non-Lipschitz or even discontinuous with respect to the usual metrics. 相似文献
150.
Sertan Alkan Merve Nilay Aydin Ramazan Coban 《Mathematical Methods in the Applied Sciences》2019,42(16):5266-5273
In this paper, the model of an electromechanical system, which is a system of linear differential equations, is studied. Haar wavelet collocation method (HWCM) is applied for finding the approximate solution of the model. HWCM reduces the system of the model into a matrix‐vector form that contains the unknown Haar coefficients, and these coefficients are easily calculated. To demonstrate the validity and applicability of HWCM, numerical solutions of the system for different parameter values in the system are presented. The obtained results demonstrate the efficiency and accuracy of the method. All of the computations are performed via a program written in Mathematica. 相似文献