| 書目名稱 | Time-Varying Vector Fields and Their Flows | | 編輯 | Saber Jafarpour,Andrew D. Lewis | | 視頻video | http://file.papertrans.cn/926/925572/925572.mp4 | | 概述 | The conditions for joint dependence on state and time are given for a real analytic time-varying vector field to have a flow depending on initial condition in a real analytic manner.Presents a united | | 叢書名稱 | SpringerBriefs in Mathematics | | 圖書封面 |  | | 描述 | This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major contribution of the book is the coherent development of locally convex topologies for the space of real analytic sections of a vector bundle, and the development of this in a manner that relates easily to classically known topologies in, for example, the finitely differentiable and smooth cases. The tools used in this development will be of use to researchers in the area of geometric functional analysis. | | 出版日期 | Book 2014 | | 關(guān)鍵詞 | Fiber Metrics; Real Analyticity; Time-varying vector fields,; real analytic geometry; topologies for spa | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-10139-2 | | isbn_softcover | 978-3-319-10138-5 | | isbn_ebook | 978-3-319-10139-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Authors 2014 |
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