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QUANTUM PROBABILITY AND INFINITE DIMENSIONAL ANALYSIS
Proceedings of the 29th Conference

Hammamet, Tunisia, 13-18 Oct 2008


CONTENTS

FRONT MATTER
i
ON THE CENTRAL EXTENSIONS OF THE HEISENBERG ALGEBRA
Luigi ACCARDI and Andreas BOUKAS
1
REPRESENTATIONS OF THE LÉVY-MEIXNER OSCILLATOR ALGEBRA AND THE OVERCOMPLETENESS OF THE ASSOCIATED SEQUENCES OF COHERENT STATES
Abdessatar BARHOUMI, Habib OUERDIANE and Anis RIAHI
13
SOME SYSTEMS OF DUALITIES IN WHITE NOISE ANALYSIS
Takeyuki Hida
32
QUANTUM WHITE NOISE DERIVATIVES AND ASSOCIATED DIFFERENTIAL EQUATIONS FOR WHITE NOISE OPERATORS
Un Cig Ji and Nobuaki Obata
42
THE GIBBS CONDITIONING PRINCIPLE FOR WHITE NOISE DISTRIBUTIONS: INTERACTING AND NON-INTERACTING CASES
Fernanda Cipriano, Soumaya Gheryani and Habib Ouerdiane
55
MARKOV TRIPLETS ON CAR ALGEBRAS
JÓZSEF PITRIK
71
Quantum Fokker-Planck Models: Limiting Case in the Lindblad Condition
F. FAGNOLA and L. NEUMANN
87
GENERALIZED EULER HEAT EQUATION
Abdessatar BARHOUMI, Habib OUERDIANE and Hafedh RGUIGUI
99
ON QUANTUM DE FINETTI'S THEOREMS
VITONOFRIO CRISMALE and YUN GANG LU
117
KOLMOGOROVIAN MODEL FOR EPR-EXPERIMENT
D. AVIS, P. FISCHER, A. HILBERT and A. KHRENNIKOV
128
Free White Noise Stochastic Equation
Luigi ACCARDI, Wided AYED and Habib OUERDIANE
138
Lévy Models Robustness and Sensitivity
Fred Espen Benth, Giulia Di Nunno and Asma Khedher
153
Quantum Heat Equation with Quantum K-Gross Laplacian: Solutions and Integral Representation
Samah Horrigue and Habib Ouerdiane
185
ON MARGINAL MARKOV PROCESSES OF QUANTUM QUADRATIC STOCHASTIC PROCESSES
Farrukh MUKHAMEDOV
203
On the Applicability of Multiplicative Renormalization Method for Certain Power Functions
Izumi Kubo, Hui-Hsiung Kuo and Suat Namli
216
Convolution Equation: Solution and Probabilistic Representation
José L. Da Silva, Mohamed Erraoui and Habib Ouerdiane
230
FROM CLASSICAL TO QUANTUM ENTROPY PRODUCTION
F. FAGNOLA and R. REBOLLEDO
245
Extending the Set of Quadratic Exponential Vectors
Luigi ACCARDI, Ameur DHAHRI and Michael SKEIDE
262
ON OPERATOR-PARAMETER TRANSFORMS BASED ON NUCLEAR ALGEBRA OF ENTIRE FUNCTIONS AND APPLICATIONS
Abdessatar BARHOUMI, Habib OUERDIANE, Hafedh RGUIGUI and Anis RIAHI
267
Dissipative Quantum Annealing
D. de Falco, E. Pertoso and D. Tamascelli
288
BACK MATTER
303
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