| 書目名稱 | Geometric Theory of Generalized Functions with Applications to General Relativity | | 編輯 | Michael Grosser,Michael Kunzinger,Roland Steinbaue | | 視頻video | http://file.papertrans.cn/384/383622/383622.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in- ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop- ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub- ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono- graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subje | | 出版日期 | Book 2001 | | 關(guān)鍵詞 | Lie group; Symmetry group; diffeomorphism; differential geometry; distribution; functional analysis; manif | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9845-3 | | isbn_softcover | 978-90-481-5880-5 | | isbn_ebook | 978-94-015-9845-3 | | copyright | Springer Science+Business Media Dordrecht 2001 |
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