We extend the square of white noise algebra over the step functions on ℝ to the test function space L2(ℝd) ∩ L∞(ℝd), and we show that in the Fock representation the exponential vectors exist for all test functions bounded by ½.
Accardi, L., Ameur, D., Michael, S. (2008). Extending the set of quadratic exponential vectors. In Quantum probability and infinite dimesional analysis: proceedings of the 29th conference, Hammamet, Tunisia, 13–18 October 2008 / edited by H. Ouerdiane, A. Barhoumi (pp.262-266). World Scientific Publishing Company [10.1142/9789814295437_0018].
Extending the set of quadratic exponential vectors
ACCARDI, LUIGI;
2008-01-01
Abstract
We extend the square of white noise algebra over the step functions on ℝ to the test function space L2(ℝd) ∩ L∞(ℝd), and we show that in the Fock representation the exponential vectors exist for all test functions bounded by ½.File in questo prodotto:
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Extending the Set of Quadratic Exponential Vectors∗.pdf
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