Contemporary Mathematics 2003; 224 pp; softcover Volume: 317 ISBN10: 0821832026 ISBN13: 9780821832028 List Price: US$57 Member Price: US$45.60 Order Code: CONM/317
 This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, SegalBargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered. Readership Research mathematicians interested in probability and analysis. Table of Contents  L. Accardi  Meixner classes and the square of white noise
 S. Albeverio, Y. Kondratiev, and M. Röckner  Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions
 H. Allouba and V. Goodman  Market price of risk and random field driven models of term structure: A spacetime change of measure look
 N. Asai, I. Kubo, and H.H. Kuo  Gaussian and Poisson white noises with related characterization theorems
 B. K. Driver  Analysis of Wiener measure on path and loop groups
 M. Gordina  Stochastic differential equations on noncommutative \(L^2\)
 B. C. Hall  The SegalBargmann transform and the Gross ergodicity theorem
 B. C. Hall and M. B. Stenzel  Sharp bounds for the heat kernel on certain symmetric spaces of noncompact type
 T. Hida  Laplacians in white noise analysis
 M. Hino  On Dirichlet spaces over convex sets in infinite dimensions
 C. King  Information capacity of quantum channels
 Y.J. Lee and C.Y. Shih  The Riesz representation theorem on infinite dimensional spaces
 J. J. Mitchell  Asymptotic behavior in heat kernel analysis on manifolds
 M. Redfern  Complex stochastic calculus
 S. B. Sontz  Recent results and open problems in SegalBargmann analysis
 A. Stan  A new Heisenberg inequality for white noise analysis
