Contents -- Preface -- Speakers -- Ph. D. students of L. Gross -- Meixner classes and the square of white noise -- Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions -- 1. Introduction -- 2. An elliptic regularity result and its consequences -- 3. Construction of the semigroup and resolvent of kernels -- 4. Construction of the associated diffusion process -- 5. Solution to the stochastic equation -- 6. Applications to stochastic dynamics -- Acknowledgement -- References
""Market price of risk and random field driven models of term structure: A space-time change of measure look""""Gaussian and Poisson white noises with related characterization theorems""; ""Analysis of Wiener measure on path and loop groups""; ""Stochastic differential equations on noncommutative L2""; ""1. Introduction""; ""2. Noncommutative Lp spaces""; ""3. Preliminary remarks""; ""4. Stochastic differential equations""; ""5. Kolmogorov's backward equation""; ""References""; ""The Segal�Bargmann transform and the Gross ergodicity theorem""
""Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type""""Laplacians in white noise analysis""; ""On Dirichlet spaces over convex sets in infinite dimensions""; ""Information capacity of quantum channels""; ""The Riesz representation theorem on infinite dimensional spaces""; ""Asymptotic behavior in heat kernel analysis on manifolds""; ""Complex stochastic calculus""; ""Recent results and open problems in Segal�Bargmann analysis""; ""A new Heisenberg inequality for white noise analysis""