THE SQUARE OF WHITE NOISE AS A JACOBI FIELD-Reference-Cited by-同舟云学术

THE SQUARE OF WHITE NOISE AS A JACOBI FIELD

Published:2004-12 Issue:04 Volume:07 Page:619-629
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

LYTVYNOV EUGENE¹

Affiliation:

1. Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP, United Kingdom

Abstract

We identify the representation of the square of white noise obtained by Accardi, Franz and Skeide in [Comm. Math. Phys.228 (2002) 123–150] with the Jacobi field of a Lévy process of Meixner's type.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025704001803

Reference19 articles.

1. Meixner classes and the square of white noise

2. The Unitarity Conditions for the Square of White Noise

3. Renormalized Squares of White Noise¶and Other Non-Gaussian Noises as Lévy Processes¶on Real Lie Algebras

4. Non-Linear Extensions of Classical and Quantum Stochastic Calculus and Essentially Infinite Dimensional Analysis

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