We extend the square of white noise algebra over the step functions on R to the test function space L-2(R-d) boolean AND L-infinity (R-d), and we show that in the Fock representation the exponential vectors exist for all test functions bounded by 1/2.
Extending the Set of Quadratic Exponential Vectors
Dhahri, A;
2010-01-01
Abstract
We extend the square of white noise algebra over the step functions on R to the test function space L-2(R-d) boolean AND L-infinity (R-d), and we show that in the Fock representation the exponential vectors exist for all test functions bounded by 1/2.File in questo prodotto:
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