Selected Papers of Takeyiki Hida [1 ed.] 9810243332, 9789810243333
The topics discussed in this book can be classified into three parts: (i) Gaussian processes. The most general and in fa
253 11 4MB
English Pages 480 [492] Year 2001
Table of contents :
Front matter
Analysis Of Brownian Functionals
Quadratic Functional of Brownian Motion
Generalized Brownian Functionals
The Role Of Exponential Functions In The Analysis Of Generalized Brownian Functionals
Causal Calculus And An Application To Prediction Theory
Generalized Gaussian Measures
The Impact of Classical Functional Analysis on White Noise Calculus
Canonical representations of Gaussian processes and their applications
Analysis On Hilbert Space With Reproducing Kernel Arising From Multiple Wiener Integral
The Square of a Gaussian Markov Process and Nonlinear Prediction
Sur l'invariance projective pour les processus symétriques stables
Note On The Infinite Dimensional Laplacian Operator
L'analyse harmonique sur l'espace des fonctions généraliséės
Conformal Invariance Of White Noise
Transformations for White Noise Functionals
On Projective Invariance of Brownian Motion
Infinite Dimensional Rotations And Laplacians In Terms Of White Noise Calculus
Infinite dimensional rotation group and white noise analysis
On Quantum Theory In Terms Of White Noise
White Noise Analysis And Its Applications To Quantum Dynamics
Boson Fock Representations of Stochastic Processes
Generalized Brownian Functionals And The Feynman Integral
Dirichlet Forms and White Noise Analysis
Dirichlet Forms In Terms Of White Noise Analysis I: Construction And Qft Examples
Dirichlet Forms In Terms Of White Noise Analysis Ii: Closability And Diffusion Processes
Multidimensional Parameter White Noise And Gaussian Random Fields
A Note on Generalized Gaussian Random Fields
White Noise and Stochastic Variational Calculus for Gaussian Random Fields
Variational Calculus for Gaussian Random Fields
Innovations For Random Fields
Functional Word in a Protein: I. Overlapping Words
Comments
Back matter
Front matter
Analysis Of Brownian Functionals
Quadratic Functional of Brownian Motion
Generalized Brownian Functionals
The Role Of Exponential Functions In The Analysis Of Generalized Brownian Functionals
Causal Calculus And An Application To Prediction Theory
Generalized Gaussian Measures
The Impact of Classical Functional Analysis on White Noise Calculus
Canonical representations of Gaussian processes and their applications
Analysis On Hilbert Space With Reproducing Kernel Arising From Multiple Wiener Integral
The Square of a Gaussian Markov Process and Nonlinear Prediction
Sur l'invariance projective pour les processus symétriques stables
Note On The Infinite Dimensional Laplacian Operator
L'analyse harmonique sur l'espace des fonctions généraliséės
Conformal Invariance Of White Noise
Transformations for White Noise Functionals
On Projective Invariance of Brownian Motion
Infinite Dimensional Rotations And Laplacians In Terms Of White Noise Calculus
Infinite dimensional rotation group and white noise analysis
On Quantum Theory In Terms Of White Noise
White Noise Analysis And Its Applications To Quantum Dynamics
Boson Fock Representations of Stochastic Processes
Generalized Brownian Functionals And The Feynman Integral
Dirichlet Forms and White Noise Analysis
Dirichlet Forms In Terms Of White Noise Analysis I: Construction And Qft Examples
Dirichlet Forms In Terms Of White Noise Analysis Ii: Closability And Diffusion Processes
Multidimensional Parameter White Noise And Gaussian Random Fields
A Note on Generalized Gaussian Random Fields
White Noise and Stochastic Variational Calculus for Gaussian Random Fields
Variational Calculus for Gaussian Random Fields
Innovations For Random Fields
Functional Word in a Protein: I. Overlapping Words
Comments
Back matter
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