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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 515/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Functional analysis
Dimensional analysis Nonlinear functional analysis Function spaces Quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7907-3
0-8218-5653-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480107703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 515/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Functional analysis
Dimensional analysis Nonlinear functional analysis Function spaces Quantum theory |
| ISBN |
0-8218-7907-3
0-8218-5653-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910788664103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 515/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Functional analysis
Dimensional analysis Nonlinear functional analysis Function spaces Quantum theory |
| ISBN |
0-8218-7907-3
0-8218-5653-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910825812803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||