CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
- 1 December 2004
- journal article
- Published by World Scientific Pub Co Pte Ltd in Infinite Dimensional Analysis, Quantum Probability and Related Topics
- Vol. 7 (4), 485-505
- https://doi.org/10.1142/s0219025704001736
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.Keywords
This publication has 7 references indexed in Scilit:
- Interacting Fock Spaces and Gaussianization of Probability MeasuresInfinite Dimensional Analysis, Quantum Probability and Related Topics, 1998
- Gaussian Hilbert SpacesPublished by Cambridge University Press (CUP) ,1997
- The Wigner semi-circle law in quantum electro dynamicsCommunications in Mathematical Physics, 1996
- Gaussian Measures in Banach SpacesLecture Notes in Mathematics, 1975
- Tensor algebras over Hilbert spaces. ITransactions of the American Mathematical Society, 1956
- The Problem of MomentsPublished by American Mathematical Society (AMS) ,1943
- The Homogeneous ChaosAmerican Journal of Mathematics, 1938