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Titolo: |
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
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
©2003 | |
Descrizione fisica: | 1 online resource (242 p.) |
Disciplina: | 515/.7 |
Soggetto topico: | Functional analysis |
Dimensional analysis | |
Nonlinear functional analysis | |
Function spaces | |
Quantum theory | |
Persona (resp. second.): | KuoHui-Hsiung <1941-> |
SenguptaAmbar <1963-> | |
GrossLeonard | |
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. |
Titolo autorizzato: | Finite and infinite dimensional analysis in honor of Leonard Gross ![]() |
ISBN: | 0-8218-7907-3 |
0-8218-5653-7 | |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910788664103321 |
Lo trovi qui: | Univ. Federico II |
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