Derivations on white noise functionals

Normal Approximation for White Noise Functionals by Stein’s Method and Hida Calculus

Limit theorems for nonlinear functionals of Volterra processes via white noise analysis

By means of white noise analysis, we prove some limit theorems for nonlinear functionals of a given Volterra process. In particular, our results apply to fractional Brownian motion (fBm), and should be compared with the classical convergence results of the eighties by Breuer, Dobrushin, Giraitis, Major, Surgailis and Taqqu, as well as the recent advances concerning the construction of a Lvy are...

Coherent States in Bernoulli Noise Functionals

Let (, F, P) be a probability space and Z = (Z K )k∈N a Bernoulli noise on (, F, P) which has the chaotic representation property. In this paper, we investigate a special family of functionals of Z , which we call the coherent states. First, with the help of Z , we construct a mapping φ from l2(N) to L2(, F, P) which is called the coherent mapping. We prove that φ has the continuity property...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Pervasive white and colored noise removing from magnetotelluric time series

Magnetotellurics is an exploration method which is based on measurement of natural electric and magnetic fields of the Earth and is increasingly used in geological applications, petroleum industry, geothermal sources detection and crust and lithosphere studies. In this work, discrete wavelet transform of magnetotelluric signals was performed. Discrete wavelet transform decomposes signals into c...