CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES-Reference-Cited by-同舟云学术

CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES

Published:2004-12 Issue:04 Volume:07 Page:485-505
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,KUO HUI-HSIUNG²,STAN AUREL³

Affiliation:

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

2. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

3. Department of Mathematics, University of Rochester, Rochester, NY 14627, USA

Abstract

We continue our program of coding the whole information of a probability measure into a set of commutation relations canonically associated to it by presenting some characterization theorems for the symmetry and factorizability of a probability measure on ℝd in terms of the canonically associated interacting creation, annihilation and number operators.

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/S0219025704001736

Reference10 articles.

1. Interacting Fock Spaces and Gaussianization of Probability Measures

2. The Wigner semi-circle law in quantum electro dynamics

3. L. Gross, Proc. 5th Berkeley Symp. Math. Stat. and Probab. 2 (Univ. of California Press, 1965) pp. 31–42.

4. Gaussian Hilbert Spaces

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