A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS-Reference-Cited by-同舟云学术

A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS

Published:2011-12 Issue:04 Volume:14 Page:661-674
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:

OBATA NOBUAKI¹,OUERDIANE HABIB²

Affiliation:

1. Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

2. Département de Mathématiques, Faculté des Sciences, Université de Tunis El Manar, Campus Universitaire, Tunis 1060, Tunisia

Abstract

We derive some characteristic properties of the convolution operator acting on white noise functions and prove that the convolution product of white noise distributions coincides with their Wick product. Moreover, we show that the S-transform and the Laplace transform coincide on Fock space.

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/S0219025711004535

Reference18 articles.

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3. UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE

4. Pascal white noise calculus

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