| Titre : |
White noise : an infinite dimensional calculus |
| Type de document : |
texte imprimé |
| Auteurs : |
Hida, Takeyuki, Auteur ; Kuo, Hui-Hsiung, Auteur ; Jurgen potthoff, Auteur ; Streit, Ludwig, Auteur |
| Editeur : |
Boston : Kluwer academic publishers |
| Année de publication : |
1993 |
| Collection : |
Mathematics and its applications num. 253 |
| Importance : |
XIII-516 p. |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-0-7923-2233-7 |
| Note générale : |
Bibliogr. p. 486-506. Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Gaussian processes
Wiener integrals
Processus gaussiens
Wiener, Intégrales de |
| Index. décimale : |
517 Analyse mathématique |
| Résumé : |
Presents a framework for infinite dimensional analysis based on white noise. This book presents a general theory of stochastic integration and also discusses construction quantum field theory and Feynman's functional integration. It is of interest to mathematicians and scientists who use stochastic methods in their research. |
| Note de contenu : |
Contents:
* Gaussian Spaces.
* T and S Transformation and the Decomposition Theorem.
* Generalized Functionals.
* The Spaces (S) and (S)*.
* Calculus of Differential Operators.
* Laplacian Operators.
* The Spaces D and D*.
* Stochastic Integration.
* Fourier and Fourier-Mehler Transforms.
* Dirichlet Forms.
* Applications to Quantum Field Theory.
* Feynman Integrals. |
White noise : an infinite dimensional calculus [texte imprimé] / Hida, Takeyuki, Auteur ; Kuo, Hui-Hsiung, Auteur ; Jurgen potthoff, Auteur ; Streit, Ludwig, Auteur . - Boston : Kluwer academic publishers, 1993 . - XIII-516 p. : ill. ; 25 cm. - ( Mathematics and its applications; 253) . ISBN : 978-0-7923-2233-7 Bibliogr. p. 486-506. Index Langues : Anglais ( eng)
| Mots-clés : |
Gaussian processes
Wiener integrals
Processus gaussiens
Wiener, Intégrales de |
| Index. décimale : |
517 Analyse mathématique |
| Résumé : |
Presents a framework for infinite dimensional analysis based on white noise. This book presents a general theory of stochastic integration and also discusses construction quantum field theory and Feynman's functional integration. It is of interest to mathematicians and scientists who use stochastic methods in their research. |
| Note de contenu : |
Contents:
* Gaussian Spaces.
* T and S Transformation and the Decomposition Theorem.
* Generalized Functionals.
* The Spaces (S) and (S)*.
* Calculus of Differential Operators.
* Laplacian Operators.
* The Spaces D and D*.
* Stochastic Integration.
* Fourier and Fourier-Mehler Transforms.
* Dirichlet Forms.
* Applications to Quantum Field Theory.
* Feynman Integrals. |
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