| Titre : | White noise : an infinite dimensional calculus |
| Auteurs : | Hida, Takeyuki, Auteur ; Kuo, Hui-Hsiung, Auteur ; Jurgen potthoff, Auteur ; Streit, Ludwig, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Boston : Kluwer academic publishers, 1993 |
| Collection : | Mathematics and its applications, num. 253 |
| ISBN/ISSN/EAN : | 978-0-7923-2233-7 |
| Format : | XIII-516 p. / ill. / 25 cm |
| Note générale : | Bibliogr. p. 486-506. Index |
| Langues : | Anglais |
| Index. décimale : | 517 (Analyse mathématique ) |
| Tags : | Gaussian processes Wiener integrals Processus gaussiens Wiener, Intégrales de |
| 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. |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Etat_Exemplaire |
|---|---|---|---|---|---|
| 517 WHI | Papier | Bibliothèque Centrale | Mathématiques | Disponible | En bon état |
