Finite and Infinite Dimensional Analysis in Honor of Leonard Gross

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross : AMS Special Session, Analysis on Infinite Dimensional Spaces, January 12-13, 2001, New Orleans, Louisiana

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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' 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' work and permeate diverse fields. Topics of this title include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann 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.
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Product details

  • Paperback | 224 pages
  • 25.4 x 260.35 x 19.05mm | 426.38g
  • Providence, United States
  • English
  • 0821832026
  • 9780821832028

Table of contents

Meixner classes and the square of white noise by L. Accardi Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions by S. Albeverio, Y. Kondratiev, and M. Rockner Market price of risk and random field driven models of term structure: A space-time change of measure look by H. Allouba and V. Goodman Gaussian and Poisson white noises with related characterization theorems by N. Asai, I. Kubo, and H.-H. Kuo Analysis of Wiener measure on path and loop groups by B. K. Driver Stochastic differential equations on noncommutative $L^2$ by M. Gordina The Segal-Bargmann transform and the Gross ergodicity theorem by B. C. Hall Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type by B. C. Hall and M. B. Stenzel Laplacians in white noise analysis by T. Hida On Dirichlet spaces over convex sets in infinite dimensions by M. Hino Information capacity of quantum channels by C. King The Riesz representation theorem on infinite dimensional spaces by Y.-J. Lee and C.-Y. Shih Asymptotic behavior in heat kernel analysis on manifolds by J. J. Mitchell Complex stochastic calculus by M. Redfern Recent results and open problems in Segal-Bargmann analysis by S. B. Sontz A new Heisenberg inequality for white noise analysis by A. Stan.
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