Quadratic exponential vectors
Mathematical Physics
2015-05-14 v2 math.MP
Probability
Abstract
We give a sufficient condition for the existence of a quadratic exponential vector with test function in L2(Rd) ? L?(Rd). We prove the linear independence and totality, in the quadratic Fock space, of these vectors. Using a technique different from the one used, we also extend, to a more general class of test functions, the explicit form of the scalar product between two such vectors.
Cite
@article{arxiv.0910.2453,
title = {Quadratic exponential vectors},
author = {Luigi Accardi and Ameur Dhahri},
journal= {arXiv preprint arXiv:0910.2453},
year = {2015}
}
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