The characterizations of Laplacians in white noise analysis

Nagoya Mathematical Journal

Volumn 143, Issue , 1996, Pages 93-109

  He, Sheng Wu ^a   Wang, Jia Gang ^a   Yao, Rong Qin ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039015465     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0027763000005936     Document Type: Article

References (15)

1. Haag, R., On quantum field theories, Dan. Mat. Fys. Medd., 29 (1995), No. 12, 1-37.
2. Hida, T., Kuo, H. H., Potthoff, J. and Streit, L., White Noise - An Infinite Dimensional Calculus, Kluwer Academic Publ. 1993.
3. Hida, T. Obata, N. and Saito, K. Infinite dimensional rotations and Laplacians in terms of white noise calculus, Nagoya Math. J., 128 (1992), 65-93.
4. Huang, Z. Y., Quantum white noises-White noise approach to quantum stochastic calculus, Nagoya Math. J., 129 (1993), 23-42.
5. Krée, P., La théorie des distributions en dimension quelconque et l'intégration stochastique, Lect. Notes in Math., 1316, 170-233, Springer. 1988.
6. Kubo, I. and Takenaka, S, Calculus on Gaussian white noise I - IV , Proc. Japan Acad., 56 A (1980), 376-380; 56 A (1980), 411-416; 57 A (1981), 433-437; 58 A (1982), 186-189.
7. Kubo, I. and Takenaka, S, Calculus on Gaussian white noise I - IV , Proc. Japan Acad., 56 A (1980), 376-380; 56 A (1980), 411-416; 57 A (1981), 433-437; 58 A (1982), 186-189.
8. Kubo, I. and Takenaka, S, Calculus on Gaussian white noise I - IV , Proc. Japan Acad., 56 A (1980), 376-380; 56 A (1980), 411-416; 57 A (1981), 433-437; 58 A (1982), 186-189.
9. Kubo, I. and Takenaka, S, Calculus on Gaussian white noise I - IV , Proc. Japan Acad., 56 A (1980), 376-380; 56 A (1980), 411-416; 57 A (1981), 433-437; 58 A (1982), 186-189.
10. Liu, K. and Yan, J. A., Euler operator and homogeneous Hida distributions. 1992. Preprint.
11. Luo, S. L., Wick algebra of generalized operators involving quantum white noise, 1994. Preprint.
12. Obata, N., Rotation-invariant operators on white noise functionals, Math. z., 210 (1992), 69-89.
13. Obata, N., White Noise Calculus and Fock Space, Springer. 1994.
14. Obata, N., Lie algebras containing infinite dimensional Laplacians, 1995. Preprint.
15. Yan, J. A., Some recent developments in white noise analysis, in Probability and statistics, A. Badrikian et al. (eds.), 221-247. World Scientific. 1993.