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 / / Hui-Hsiung Kuo, Ambar N. Sengupta, editors

• Record Nr.: UNINA9910788664103321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2003]; ©2003
• ISBN: 0-8218-7907-3; 0-8218-5653-7
• Descrizione fisica: 1 online resource (242 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 317
• Disciplina: 515/.7
• Soggetti: Functional analysis; Dimensional analysis; Nonlinear functional analysis; Function spaces; Quantum theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.