These proceedings emphasize new mathematical problems discussed in line with white noise analysis. Many papers deal with mathematical questions arising from actual phenomena. Various applications to stochastic differential equations, quantum field theory, functional integration such as Feynman integrals, limit theorems in probability are also discussed.
Loop spaces and logarithmic Sobolev inequalities, L. Gross; traces, natural extensions and Feynman distributions, G. Kallianpur; central limit theorems on random measures and stochastic difference equations, H. Kunita; stochastic partial differential equations; white noise approach, Yu A. Rozanov; white noise and what it can do for physics, J. Potthoff and L. Streit; the low density limit in the finite temperature case (I), L. Accardi and Y.G. Lu; the Hilda calculus approach to stochastic integration, A.N. Al-Hussaini; projection spectral theorem and its applications to the infinite-dimensional harmonic analysis, Yu M. Berezansky; on the convergence of functionals of random walks to the local times of Bessel processes, A. Borodin; canonical representations of Gaussian processes and integral operators, M. Hitsuda; Fourier-Mehler transforms in white noise analysis, H-H. Kuo; on the existence of optimal relaxed control for stochastic differential equations, M. Nisio.