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200 10$aQuantum information IV $eproceedings of the fourth international conference, Meijo University, Japan, 27 February-1 March 2001 /$fedited by T. Hida & K. Saito
205 $a1st ed.
210 $aRiver Edge, NJ $cWorld Scientific$dc2002
215 $a1 online resource (209 p.)
300 $aDescription based upon print version of record.
311 08$a9789812380203
311 08$a9812380205
320 $aIncludes bibliographical references.
327 $aCONTENTS ; 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)
327 $a5. 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
327 $a3 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
327 $a2 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
327 $a7 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
327 $aReferences
330 $a
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