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OverviewThis monograph presents a framework for infinite dimensional analysis based on white noise. This approach, which has many areas of application is both intuitive and efficient. Among the concepts and structures generalized to an infinite dimensional setting in this book are: spaces of test and generalized functions, differential calculus, Laplacian and Fourier transforms and Dirichlet forms and their Markov processes. A multitude of concepts, such as Brownian motion functionals, falls into this framework. This book presents a simple, yet general theory of stochastic integration and also discusses construction quantum field theory and Feynman's functional integration. This volume will be of interest to mathematicians and scientists who use stochastic methods in their research. The book will be of particular value to mathematicians in probability theory, functional analysis, measure theory, potential theory, as well as to physicists and scientists in engineering. Full Product DetailsAuthor: Takeyuki Hida , Hui-Hsiung Kuo , Jürgen Potthoff , L. StreitPublisher: Springer Imprint: Springer Edition: 1st ed. Softcover of orig. ed. 1993 Volume: 253 Dimensions: Width: 16.00cm , Height: 2.70cm , Length: 24.00cm Weight: 0.813kg ISBN: 9789048142606ISBN 10: 9048142601 Pages: 520 Publication Date: 05 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1. Gaussian Spaces.- 2. J and f Transformation and the Decomposition Theorem.- 3. Generalized Functionals.- 4. The Spaces (f) and (f)*.- 5. Calculus of Differential Operators.- 6. Laplacian Operators.- 7. The Spaces D and D*.- 8. Stochastic Integration.- 9. Fourier and Fourier-Mehler Transforms.- 10. Dirichlet Forms.- 11. Applications to Quantum Field Theory.- 12. Feynman Integrals.- Appendices.- A.1 Hermite Polynomials.- A.2 Fock Space.- A.3 Reproducing Kernel Hilbert Spaces.- Notations and Conventions.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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