Preface ; A Quarter Century of White Noise Theory ; 1. Pre-theory period (white noise without a theory) ; 2. Creation of white noise theory (1975) ; 3. Kubo-Takenaka's construction (1980) ; 4. Characterization theorems of Potthoff-Streit and Lee (1991)
2 Law of large numbers central limit theorems and entangled ergodicity 3 Set partition statistics on discrete groups ; 4 Singleton independence ; 5 A limit theorem on the Haagerup states ; 6 Quantum decomposition in a discrete group
3 Segal-Bargmann Transform and Hardy Space 4 Main Results ; Appendix ; References ; Notions of Independence in Algebraic Probability Theory and Set Partition Statistics ; 1 Singleton condition and set partition statistics
5. More spaces of generalized functions (1992-2000) 6. Applications of white noise theory ; 7. References on white noise theory ; References ; Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials ; 1 Introduction ; 2 q-deformed Charlier Polynomials
7 Interacting Fock spaces associated with a discrete group 8 Applications to limit theorems in algebraic probability theory ; References ; Some Thoughts on the Infinite Dimensional Harmonic Analysis ; 1 Background ; 2 Roles of whiskers ; 3 Conformal group ; 4 Concluding remarks
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Contents:
A Quarter Century of White Noise Theory (H-H Kuo)
Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials (N Asai)
Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto)
Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y Hara-Mimachi)
A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.)
Poisson Noise Analysis Based on the Lévy Laplacian (A Ishikawa et al.)<
Quantum information 4
Quantum information four
Proceedings of the fourth international conference, quantum information IV, Meijo University, Japan, 27 February-1 March 2001
Computer science, Congresses.
Quantum computers, Congresses.
Computer science.
Quantum computers.
530
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12
QA76
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889
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I535
2001eb
Hida, Takeyuki,1927-2017.
Saitō, K., (Kimiaki),1959-
International Conference on Quantum Information(4th :2001 :, Meijo University)