Poisson measure as the spectral measure of jacobi field

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 3, Issue 1, 2000, Pages 121-139

  Berezansky, Yurij M ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

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Indexed keywords

EID: 0346225587     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025700000078     Document Type: Article

References (22)

1. S. Albeverio, Yu. G. Kondratiev and M. Röckner, J. Funct. Anal. 153 (1998) 444-500.
2. H. Bateman and A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, 1953), Vol. 2, in Russian (Nauka, 1966).
3. Yu. M. Berezanskii, Self-adjoint Operators in Spaces of Functions of Infinitely Many Variables (AMS, 1986).
4. Yu. M. Berezansky, Spectral approach to white noise analysis, in Dynamics of Complex and Irregular Systems, Bielefed Encounters in Mathematics and Physics, VIII (World Scientific, 1993), pp. 131-140.
5. Yu. M. Berezansky, Ukrainian Math. J. 49 (1997) 403-450.
6. Yu. M. Berezansky, St. Petersburg Math. J. 9 (1998) 1053-1071.
7. Yu. M. Berezansky, Integral Equation Oper. Theory 30 (1998) 163-190.
8. Yu. M. Berezansky, Methods Funct. Anal. Topology 4(1) (1998) 1-31.
9. Yu. M. Berezansky and Yu. G. Kondratiev, Spectral Methods in Infinite-Dimensional Analysis (Kluwer, 1995); (in Russian, Naukova Dumka, 1988).
10. Yu. M. Berezansky, V. O. Livinsky and E. W. Lytvynov, Methods Funct. Anal. Topology 1(1) (1995) 28-55.
11. I. M. Gelfand and N. Ya. Vilenkin, Generalized Functions (Academic Press 1968), Vol. IV; (in Russian, Gostekhizdat, 1961).
12. T. Hida, Brownian Motion (Springer 1980), (in Russian, Nauka, 1987).
13. T. Hida and N. Ikeda, Analysis on Hubert space with reproducing kernel arising from multiple Wiener integral, Proc. 5th Berkeley Symp. on Math. Stat. and Prob. Vol. II, Part 1 (1967), pp. 117-143.
14. Y. Ito, Prob. Th. Rel. Fields 77 (1988) 1-28.
15. Y. Ito and I. Kubo, Nagoya Math. J. 111 (1988) 41-84.
16. Yu. G. Kondratiev, J. L. da Silva, L. Streit and G. F. Us, Infinite Dim. Anal., Quant. Prob., Rel. Topics 1 (1998) 91-117.
17. E. W. Lytvynov, Dokl. Akad. Nauk Ukrainy (1994) 29-32.
18. E. W. Lytvynov, Methods Funct. Anal. Topology 1(1) (1995) 61-85.
19. K. R. Parthasarathy, An Introduction to Quantum Stochastic Calculus (Birkhäuser, 1992).
20. M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic Press, 1972), Vol. 1; in Russian (Mir, 1977).
21. F. H. Szafraniec, Oper. Theory 80 (1995) 266-275.
22. G. Szegö, Orthogonal Polynomials (AMS, 1959); in Russian (Gostechizdat, 1962).