Extending the Set of Quadratic Exponential Vectors
Probability
2013-11-20 v1 Operator Algebras
Abstract
We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by 1/2.
Keywords
Cite
@article{arxiv.0812.0089,
title = {Extending the Set of Quadratic Exponential Vectors},
author = {Luigi Accardi and Ameur Dhahri and Michael Skeide},
journal= {arXiv preprint arXiv:0812.0089},
year = {2013}
}