This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, ‘pure’ functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.

Contents:

• A Combinatorial Identity and Its Application to Gaussian Measures (L Accardi, H-H Kuo & A I Stan)
• Integral Representation of Positive Operator on Infinite Dimensional Space of Entire Functions (W Ayed & H Ouerdiane)
• Comparison of Some Methods of Quantum State Estimation (Th Baier et al.)
• Entropic Bounds and Continual Measurements (A Barchielli & G Lupieri)
• Covariant Quantum Stochastic Flows and Their Dilation (V Belavkin & L Gregory)
• Alicki–Fannes and Hudson–Parthasarathy Evolution Equations (A C R Belton)
• Functional Integrals Over Smolyanov Surface Measures for Evolutionary Equations on a Riemannian Manifold (Ya A Butko)
• Quantum Probabilistic Model for the Financial Market (O Choustova)
• Note on the Time Operator (T Hida)
• An Analytic Double Product Integral (R L Hudson)
• To Quantum Mechanics Through Gaussian Integration and the Taylor Expansion of Functionals of Classical Fields (A Yu Khrennikov)
• A Theorem on Liftings of Statistical Operators (J Kupsch)
• Thermodynamical Formalism for Quasi-Local C*-Systems and Fermion Grading Symmetry (H Moriya)
• Micro-Macro Duality and an Attempt Towards Measurement Scheme of Quantum Fields (I Ojima)
• The Lévy Laplacian Acting on Some Class of Lévy Functionals (K Saitô & A H Tsoi)
• On the General Form of the Integral-Sigma Lemma in Symmetric Fock Space (K Schubert)
• Spatial E₀-Semigroups are Restrictions of Inner Automorphism Groups (M Skeide)
• A Characterization of Poisson Noise (Si Si)
• On Two Conjectures in Segal–Bargmann Analysis (S B Sontz)
• Note on Quantum Mutual Type Entropies and Capacity (N Watanabe)
• and other papers