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.
2010
QP-PQ: Quantum Probability and White Noise Analysis: Volume 25
978-981-4295-42-0
978-981-4295-43-7
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1227692
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