Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
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 | ||
| ||
Infinite dimensional stochastic analysis [[electronic resource] ] : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar
| Infinite dimensional stochastic analysis [[electronic resource] ] : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 519.2/2 |
| Altri autori (Persone) |
KuoHui-Hsiung <1941->
SenguptaAmbar <1963-> SundarP (Padmanabhan) |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
White noise theory
Stochastic analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93809-2
9786611938093 981-277-955-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Complex White Noise and the Infinite Dimensional Unitary Group T. Hida; 1. Introduction; 2. Complex white noise; 3. Infinite dimensional unitary group; 4. Subgroups of U(Ee); References; Complex Ito Formulas M. Redfern; 1. Introduction; 2. Background and Notation; 3. Complex White Noise Analysis; 4. Calculus of (Dc*)-Valued Processes; 5. Real Case; References; White Noise Analysis: Background and a Recent Application J. Becnel and A . N. Sengupta; 1. Introduction; 2. Background: The Schwartz Space as a Nuclear Space
2.1. Hermite polynomials, creation and annihilation operators2.2. The Schwartz space as a nuclear space; 2.3. The abstract formulation; 2.4. Gaussian measure in infinite dimensions; 3. White Noise Distribution Theory; 3.1. Wiener-Ito isomorphism; 3.2. Properties of test functions; 3.3. The Segal-Bargmann transform; 3.3.1. The S-transform over subspaces; 4. Application to Quantum Computing; 4.1. Quantum algorithms; 4.2. Hidden subspace algorithm; Acknowledgment; References; Probability Measures with Sub-Additive Principal Szego-Jacobi Parameters A. Stan; 1. Introduction; 2. Background 3. Wick product4. Random variables with sub-additive w-parameters; References; Donsker's Functional Calculus and Related Questions P.-L. Chow and J. Potthoff; 1. Introduction; 2. Donsker's Calculus; 3. Tools from White Noise Analysis and Malliavin Calclus; 3.1. Chaos Decomposition; 3.2. S-Transform; 3.3. Smooth and Generalized Random Variables; 3.4. Differential Operators; 3.5. Characterization Theorem and Wick Product; 4. Fourier-Wiener Transform; 5. Independence and Ito Calculus; 5.1. Independence of Generalized Random Variables; 5.2. Ito Calculus for Generalized Stochastic Processes 5.3. Donsker's Delta Function6. Towards Donsker's Calculus; References; Stochastic Analysis of Tidal Dynamics Equation U. Manna, J. L. Menaldi, and S. S. Sritharan; 1. Introduction; 2. Tidal Dynamics: The Model; 3. Deterministic Setting: Global Monotonicity and Solvability; 4. Stochastic Tide Equation; Acknowledgments; References; Adapted Solutions to the Backward Stochastic Navier-Stokes Equations in 3D P. Sundar and H. Yin; 1. Introduction; 2. Preliminaries; 3. A Priori Estimates; 4. Existence of Solutions; 5. Uniqueness of Solutions; References Spaces of Test and Generalized Functions of Arcsine White Noise Formulas A . Barhoumi, A . Riahi, and H. Ouerdiane1. Introduction; 2. Arcsine White Noise Space; 2.1. Arcsine space in one dimension; 2.2. Construction of the arcsine white noise space; 3. Arcsine Test and Generalized Functions Spaces; 4. Characterization Theorems; 4.1. The S-transform; 4.2. Characterization of test and generalized functions; References; An Infinite Dimensional Fourier-Mehler Transform and the Levy Laplacian K. Saito and K. Sakabe; 1. Introduction; 2. A compensated Levy process and the Levy distributions 3. The Levy Laplacian acting on the Levy distributions |
| Record Nr. | UNINA-9910453201803321 |
| New Jersey, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Infinite dimensional stochastic analysis [[electronic resource] ] : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar
| Infinite dimensional stochastic analysis [[electronic resource] ] : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 519.2/2 |
| Altri autori (Persone) |
KuoHui-Hsiung <1941->
SenguptaAmbar <1963-> SundarP (Padmanabhan) |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
White noise theory
Stochastic analysis |
| ISBN |
1-281-93809-2
9786611938093 981-277-955-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Complex White Noise and the Infinite Dimensional Unitary Group T. Hida; 1. Introduction; 2. Complex white noise; 3. Infinite dimensional unitary group; 4. Subgroups of U(Ee); References; Complex Ito Formulas M. Redfern; 1. Introduction; 2. Background and Notation; 3. Complex White Noise Analysis; 4. Calculus of (Dc*)-Valued Processes; 5. Real Case; References; White Noise Analysis: Background and a Recent Application J. Becnel and A . N. Sengupta; 1. Introduction; 2. Background: The Schwartz Space as a Nuclear Space
2.1. Hermite polynomials, creation and annihilation operators2.2. The Schwartz space as a nuclear space; 2.3. The abstract formulation; 2.4. Gaussian measure in infinite dimensions; 3. White Noise Distribution Theory; 3.1. Wiener-Ito isomorphism; 3.2. Properties of test functions; 3.3. The Segal-Bargmann transform; 3.3.1. The S-transform over subspaces; 4. Application to Quantum Computing; 4.1. Quantum algorithms; 4.2. Hidden subspace algorithm; Acknowledgment; References; Probability Measures with Sub-Additive Principal Szego-Jacobi Parameters A. Stan; 1. Introduction; 2. Background 3. Wick product4. Random variables with sub-additive w-parameters; References; Donsker's Functional Calculus and Related Questions P.-L. Chow and J. Potthoff; 1. Introduction; 2. Donsker's Calculus; 3. Tools from White Noise Analysis and Malliavin Calclus; 3.1. Chaos Decomposition; 3.2. S-Transform; 3.3. Smooth and Generalized Random Variables; 3.4. Differential Operators; 3.5. Characterization Theorem and Wick Product; 4. Fourier-Wiener Transform; 5. Independence and Ito Calculus; 5.1. Independence of Generalized Random Variables; 5.2. Ito Calculus for Generalized Stochastic Processes 5.3. Donsker's Delta Function6. Towards Donsker's Calculus; References; Stochastic Analysis of Tidal Dynamics Equation U. Manna, J. L. Menaldi, and S. S. Sritharan; 1. Introduction; 2. Tidal Dynamics: The Model; 3. Deterministic Setting: Global Monotonicity and Solvability; 4. Stochastic Tide Equation; Acknowledgments; References; Adapted Solutions to the Backward Stochastic Navier-Stokes Equations in 3D P. Sundar and H. Yin; 1. Introduction; 2. Preliminaries; 3. A Priori Estimates; 4. Existence of Solutions; 5. Uniqueness of Solutions; References Spaces of Test and Generalized Functions of Arcsine White Noise Formulas A . Barhoumi, A . Riahi, and H. Ouerdiane1. Introduction; 2. Arcsine White Noise Space; 2.1. Arcsine space in one dimension; 2.2. Construction of the arcsine white noise space; 3. Arcsine Test and Generalized Functions Spaces; 4. Characterization Theorems; 4.1. The S-transform; 4.2. Characterization of test and generalized functions; References; An Infinite Dimensional Fourier-Mehler Transform and the Levy Laplacian K. Saito and K. Sakabe; 1. Introduction; 2. A compensated Levy process and the Levy distributions 3. The Levy Laplacian acting on the Levy distributions |
| Record Nr. | UNINA-9910782272003321 |
| New Jersey, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Infinite dimensional stochastic analysis : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar
| Infinite dimensional stochastic analysis : in honor of Hui-Hsiung Kuo / / editors, Ambar N. Sengupta, P. Sundar |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 519.2/2 |
| Altri autori (Persone) |
KuoHui-Hsiung <1941->
SenguptaAmbar <1963-> SundarP (Padmanabhan) |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
White noise theory
Stochastic analysis |
| ISBN |
1-281-93809-2
9786611938093 981-277-955-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Complex White Noise and the Infinite Dimensional Unitary Group T. Hida; 1. Introduction; 2. Complex white noise; 3. Infinite dimensional unitary group; 4. Subgroups of U(Ee); References; Complex Ito Formulas M. Redfern; 1. Introduction; 2. Background and Notation; 3. Complex White Noise Analysis; 4. Calculus of (Dc*)-Valued Processes; 5. Real Case; References; White Noise Analysis: Background and a Recent Application J. Becnel and A . N. Sengupta; 1. Introduction; 2. Background: The Schwartz Space as a Nuclear Space
2.1. Hermite polynomials, creation and annihilation operators2.2. The Schwartz space as a nuclear space; 2.3. The abstract formulation; 2.4. Gaussian measure in infinite dimensions; 3. White Noise Distribution Theory; 3.1. Wiener-Ito isomorphism; 3.2. Properties of test functions; 3.3. The Segal-Bargmann transform; 3.3.1. The S-transform over subspaces; 4. Application to Quantum Computing; 4.1. Quantum algorithms; 4.2. Hidden subspace algorithm; Acknowledgment; References; Probability Measures with Sub-Additive Principal Szego-Jacobi Parameters A. Stan; 1. Introduction; 2. Background 3. Wick product4. Random variables with sub-additive w-parameters; References; Donsker's Functional Calculus and Related Questions P.-L. Chow and J. Potthoff; 1. Introduction; 2. Donsker's Calculus; 3. Tools from White Noise Analysis and Malliavin Calclus; 3.1. Chaos Decomposition; 3.2. S-Transform; 3.3. Smooth and Generalized Random Variables; 3.4. Differential Operators; 3.5. Characterization Theorem and Wick Product; 4. Fourier-Wiener Transform; 5. Independence and Ito Calculus; 5.1. Independence of Generalized Random Variables; 5.2. Ito Calculus for Generalized Stochastic Processes 5.3. Donsker's Delta Function6. Towards Donsker's Calculus; References; Stochastic Analysis of Tidal Dynamics Equation U. Manna, J. L. Menaldi, and S. S. Sritharan; 1. Introduction; 2. Tidal Dynamics: The Model; 3. Deterministic Setting: Global Monotonicity and Solvability; 4. Stochastic Tide Equation; Acknowledgments; References; Adapted Solutions to the Backward Stochastic Navier-Stokes Equations in 3D P. Sundar and H. Yin; 1. Introduction; 2. Preliminaries; 3. A Priori Estimates; 4. Existence of Solutions; 5. Uniqueness of Solutions; References Spaces of Test and Generalized Functions of Arcsine White Noise Formulas A . Barhoumi, A . Riahi, and H. Ouerdiane1. Introduction; 2. Arcsine White Noise Space; 2.1. Arcsine space in one dimension; 2.2. Construction of the arcsine white noise space; 3. Arcsine Test and Generalized Functions Spaces; 4. Characterization Theorems; 4.1. The S-transform; 4.2. Characterization of test and generalized functions; References; An Infinite Dimensional Fourier-Mehler Transform and the Levy Laplacian K. Saito and K. Sakabe; 1. Introduction; 2. A compensated Levy process and the Levy distributions 3. The Levy Laplacian acting on the Levy distributions |
| Record Nr. | UNINA-9910810337403321 |
| New Jersey, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||