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.: UNINA9910480107703321
• 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; Electronic books.
• 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 Segalâ€?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 Segalâ€?Bargmann analysis""; ""A new Heisenberg inequality for white noise analysis""