EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE-Reference-Cited by-同舟云学术

EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE

Published:2011-03 Issue:01 Volume:14 Page:1-14
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:

ACCARDI LUIGI¹,JI UN CIG²,SAITÔ KIMIAKI³

Affiliation:

1. Centro Vito Volterra, Università di Roma "Tor Vergata," 00133 Via Columbia 2, Roma, Italy

2. Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University, Cheongju 361-763, Korea

3. Department of Mathematics, Meijo University, Nagoya 468, Japan

Abstract

In this paper, we give a relationship between the exotic Laplacians and the Lévy Laplacians in terms of the higher-order derivatives of white noise by introducing a bijective and continuous linear operator acting on white noise functionals. Moreover, we study a relationship between exotic Laplacians, acting on higher-order singular functionals, each other in terms of the constructed operator.

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/S0219025711004262

Reference23 articles.

1. A QUANTUM APPROACH TO LAPLACE OPERATORS

2. L. Accardi and O. G. Smolyanov, Mathematical Approach to Fluctuations II, ed. T. Hida (World Scientific, 1995) pp. 31–47.

3. EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

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