Dirichlet forms and Markov processes
著者
書誌事項
Dirichlet forms and Markov processes
（North-Holland mathematical library, v. 23）（Kodansha scientific books）
North-Holland , Kodansha , Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1980
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注記
Based on the author's Dirikure keishiki to Marukofu katei, published in 1975
Bibliography: p. 191-194
Includes index
内容説明・目次
内容説明
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles
目次
Tentative Table of Contents:PrefaceList of Standard SymbolsChapter 1: Smooth ManifoldsChapter 2: Analysis on ManifoldsChapter 3: Lie Transformation GroupsChapter 4: Lagrange StructuresChapter 5: Elementary Sheaf TheoryChapter 6: Variational Sequences on Fibered ManifoldsChapter 7: Invariant Variational Functionals on Principal BundlesChapter 8: Differential Invariants Chapter 9: Natural Variational Principles AppendicesBibliographyIndex
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