White Noise in Mathematics You've very probably heard white noise, either in a physics lab or, perhaps, at a sound check. It's that constant rushing noise like a waterfall. At times you may imagine you're hearing voices or pitches, but they only last an instant and in reality, you so...
White Noise This textbook on quantum bio-informatics, volume 24 in the Quantum Probability and White Noise Analysis series from World Scientific, combines mathematics, physics and life sciences so that graduate students and researchers can delve deeper into the basis of quantum theory. Quantum bio-in...
White Noise 作者:T. Hida/Hui-Hsiung Kuo/Jürgen Potthoff/L. Streit 出版社:Springer 副标题:An Infinite Dimensional Calculus (Mathematics and Its Applications) 出版年:1993-03-31 页数:530 定价:USD 175.00 装帧:Hardcover ISBN:9780792322337 豆瓣评分...
Mathematics Subject Classification (1991): 60H40, 60G20We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula [Multiple line equation(s) cannot be represented in ASCII text] Here E [F] denotes the generalized ...
根据上文“In the simplest of terms, white noise is sound that can be used to cover up background sounds.(简而言之,白噪声是用来掩盖背景声音的声音)”以及后文“No wonder it is often recommended as a sleep and study aid.(难怪它经常被推荐作为睡眠和学习的辅助工具)”可知,上句提到白噪音的基本...
根据前一句"Research conducted in 2014 at the University of Hamburg-Eppendorf Medical Center found a positive link between white noise and people learning mathematics.2014年,汉堡大学埃彭多夫医学中心进行的一项研究发现,白噪声与人们学习数学之间存在积极联系。"可知"B.However,another research indicates it all...
We are interested in rigorously proving the invariance of white noise for the stochastic KdV-Burgers equation. This paper establishes a result in this ... G Richards - 《Mathematics》 被引量: 7发表: 2014年 Invariance of white noise for KdV on the line We consider the Korteweg--de Vries eq...
In 1975 T. Hida introduced white noise theory which can be used to study Levy's functional analysis. In this paper we study recent progress on some properties of the Levy Laplacian from the white noise viewpoint, e.g., its relationships to the Levy group, the spherical mean, Wiener ...
We first study a general type of convolutions, parameterized by operators, on white noise functionals and study a relation between the convolution and the generalized Fourier-Mehler transform. Secondly, we extend the convolution of generalized white noise functionals to a convolution of white noise op...
The other characteristic is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group. With the help of this rotation group, the white noise analysis has explored new areas of mathematics and has extended the fields of...