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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Paley-Wiener type theorems and their applications
Paley-Wiener型定理 Clifford代数环境 函数空间
2023/5/15
In this talk I will briefly introduce some Paley-Wiener type theorems in the Clifford algebra setting. The PW type theorems are related to a decomposition of some function spaces. Using the PW type th...
随机效应Wiener过程退化可靠性分析方法
性能退化 随机效应 Wiener过程 可靠性分析
2018/11/15
针对工程中很多产品的初始退化量具有不确定性的情况，提出一种性能退化随机效应Wiener过程可靠性分析方法，同时考虑初始退化量和漂移系数的随机性.然后，根据首达时的定义，推导出了失效时间概率分布函数和概率密度函数的解析表达式.其次，结合产品性能退化测试情况，给出退化模型未知参数的极大似然估计.最后，通过对磁盘性能退化可靠性实例分析，验证了本文方法的适用性和有效性，与随机效应退化轨迹模型相比，本文方法...
INVERTIBILITY OF THE GABOR FRAME OPERATOR ON THE WIENER AMALGAM SPACE
Wiener amalgam space Gabor frame Walnut representation Wiener’s Lemma
2015/12/10
We use a generalization of Wiener’s 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L∞, `1 )(Rd), the corresponding frame operator is invertible on this s...
AN ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
2015/9/29
We develop a theory of almost periodic elements in Banach algebras and present an abstract version of anoncommutative Wiener’s Lemma. The theory can be used, for example, to derive some of the recentl...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
Applying the Wiener-Hermite Random Technique to Study the Evolution of Excess Weight Population in the Region of Valencia (Spain)
Random SIS Type—Epidemiological Model Wiener—Hermite Expansion Perturbation Method
2013/1/30
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the...
Nourdin-Peccati analysis on Wiener and Wiener-Poisson space for general distributions
Nourdin-Peccati analysis Wiener Wiener-Poisson space general distributions
2012/3/1
Given a reference random variable, we study the solution of its Stein equation and obtain universal bounds on its first and second derivatives. We then extend the analysis of Nourdin and Peccati by bo...
固定直径的树的Wiener指数
Wiener指数 直径 树 距离距离
2012/8/6
图G的wiener指数定义为图中所有点对u，v的距离之和∑d（u，v）. 在这篇文章中，我们刻画了在n个顶点直径为d的所有树中具有第三小wiener指数的树的特征以及介绍了得到这类树的wiener指数排序的方法.
Approximation and relaxation of perimeter in the Wiener space
Approximation and relaxation of perimeter the Wiener space Analysis of PDEs
2011/9/13
Abstract: We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L^2-topology. We also show that the rescaled Allen-Cahn functionals approxim...
介绍了一类新的包含非扩张映象的非线性Wiener-Hopf方程,建立了非凸变分不等式问题与Wiener-Hopf方程的等价关系,进一步给出了一个求解非凸变分不等式和非扩张映象不动点的逼近方法,并在算子具有α-强制性的条件下证明了该方法所产生的迭代序列的强收敛性.
Paley-Wiener Theorems with respect to the spectral parameter
Gelfand pairs Euclidean motion group Spherical Fourier transform
2011/1/19
One of the important questions related to any integral transform on a manifold M or on a homogeneous space G/K is the description of the image of a given space of functions. If M= G/K, where (G,K) is ...
Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
Wiener-Hopf factorization and distribution of extrema for a family of Lévy processes
Wiener-Hopf factorization distribution extrema
2010/11/12
In this paper we introduce a ten-parameter family of L\'{e}vy processes for which we obtain Wiener-Hopf factors and distribution of the supremum process in semi-explicit form. This family allows an a...
Sample path deviations of the Wiener and the Ornstein-Uhlenbeck process from its bridges
Sample path deviations Wiener Ornstein-Uhlenbeck process
2010/11/9
We study sample path deviations of the Wiener process from three different representations of its bridge: anticipative version, integral representation and space-time transform. Although these repres...
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Surface measures convergence of the Ornstein-Uhlenbeck semigroup Wiener spaces
2010/11/26
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this clas...