Extending the Set of Quadratic Exponential Vectors

Details Extending the Set of Quadratic Exponential Vectors Extending the Set of Quadratic Exponential Vectors

2008-11-29

arxiv.org/abs/0812.0089v1

Mathematics

Probability

Scientific paper

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.

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