Results 271 to 280 of about 280,299 (312)

White Noise Analysis and the Levy Laplacian

1988
In line with the harmonic analysis on the space (L2)- of generalized Brownian functionals we are given the Levy’s Laplacian ΔL and discuss its roles in the causal calculus on (L2)-. There we can find interesting relations to the Levy group as well as to the Fourier transform introduced by H.-H. Kuo.
Takeyuki Hida, Kimiaki Saito
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An Introduction to White Noise Analysis

1994
The Gaussian white noise measure μ (on the Borel algebra over cylinder sets of real, tempered distributions ω ∈ S * (R d )) is conveniently described by its characteristic function: $$C(f) = E({e^{i }}) = \int\limits_{S*} {d\mu [\omega ]{e^{i }}} = {e^{ - \tfrac{1}{2}\int {{f^{2(t)dt}}} }},f \in S({R^d})$$ (1.1)
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White Noise Analysis and Chaos Expansions

2017
In the framework of white noise analysis, random variables and stochastic processes can be represented in terms of Fourier series in a Hilbert space orthogonal basis, namely in their chaos expansion forms. We briefly summarize basic concepts and notations of white noise analysis, characterize different classes of stochastic processes (test, square ...
Tijana Levajković, Hermann Mena
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An Approach to a Generalization of White Noise Analysis

2009
In this article, we review some recent developments in white noise analysis and its generalizations. In particular, we describe the main idea of the biorthogonal approach to a generalization of white noise analysis, connected with the theory of hypergroups.
Yu.M. Berezansky, V.A. Tesko
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White-noise analysis in retinal physiology

Neuroscience Research Supplements, 1986
M, Sakuranaga, Y, Ando, K, Naka
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White-noise analysis in neurophysiology

Physiological Reviews, 1992
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White Noise Analysis and the Feynman Integral

1980
As one can see at this conference, and similarly as with some other concepts of theoretical physics, the Feynman integral is being used as an important tool of quantum dynamics at a time when its mathematical formalization is still being developed, — a novel and remarkable example of such development was presented by Mme Sirugue [1].
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Causal Analysis in Terms of White Noise

1980
Functionals of Brownian motion, call them Brownian functionals, are discussed, where development of time is taken into account. In the course of the analysis we are naturally led to introduce classes of generalized Brownian functionals and to discuss differential calculus, where the integral representation of Brownian functionals and Levy’s functional ...
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On the relation between white shot noise, Gaussian white noise, and the dichotomic Markov process

Journal of Statistical Physics, 1983
Van Den Broeck C
exaly  

White Noise Processes

Journal of Engineering Mechanics - ASCE, 1987
Mircea Grigoriu, Grigoriu Mircea
exaly