Interacting Fock spaces and Gaussianization of probability measures

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 1, Issue 4, 1998, Pages 663-670

  Accardi, Luigi ^a   Bozejko, Marek ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF WROC AW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000855365     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025798000363     Document Type: Article

References (15)

1. L. Accardi and Y. G. Lu, The Wigner semi-circle law in quantum electro dynamics, Commun. Math. Phys. 180 (1996) 605-632, Volterra preprint No. 126 (1992).
2. L. Accardi, Y. G. Lu and I. Volovich, Interacting Fock spaces and Hilbert module extensions of the Heisenberg commutation relations. Publications of IIAS (Kyoto) (1997).
3. L. Accardi, Y. Hashimoto and N. Obata, Notions of independence related to the free group, Infinite Dimensional Analysis Quantum Prob. Related Topics (1998) 201-220, Volterra Preprint No. 311 (1998).
4. L. Accardi, Y. Hashimoto and N. Obata, Singleton Independence in Proc. of the Quantum Probability Conference, Gdansk, July 1997 Publications of the Banach Center (1998) Volterra Preprint No. 310 (1998).
5. N. Achieser, The classical moment problem, Moscow 1961.
6. M. Bożejko, M. Leinert and R. Speicher, Convolution and limit theorems for conditionally free random variables, Preprint 1994, Pac. J. Math. 175 (1996) 357-388.
7. M. Bożejko and R. Speicher, Interpolation between bosonic and fermionic relation given by generalized Brownian motions, Math. Z. 222 (1996) 135-160.
8. Bożejko and Wysoczanski, New convolutions of measures and central limit theorem, Preprint Wrocław (1997), pp. 1-10. Banach Center Publications 43 (1998) 10.
9. Bożejko and Wysoczanski, New convolutions of measures and central limit theorem, Preprint Wrocław (1997), pp. 1-10. Banach Center Publications 43 (1998) 10.
10. M. Bozejko, B. Kummerer and R. Speicher, q-Gaussian processes: Noncommutative and classical aspects, Commun Math. Phys. 185 (1997) 129-154.
11. Y. G. Lu, The interacting free fock space and the deformed wigner law, Preprint of Centro Volterra (1995), Nagoya J. Math. 145 (1997) 1-29.
12. Y. G. Lu, An interacting free Fock space and the reciprocal Wigner law, Preprint of Centro Volterra (1996), Prob. Math. Statist. 17 (1997) 1.
13. Y. G. Lu, Interacting Fock spaces, related to Anderson model, Infinite Dimensional Quantum Prob. Related Topics 1 (1998) 247-283.
14. Suetin, Orthogonal polynomials in 2 variables, Moscow (1985), (in Russian).
15. Szëgo, Orthogonal polynomials (1938).