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＜電子ブック＞
Time-Varying Vector Fields and Their Flows / by Saber Jafarpour, Andrew D. Lewis
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	VIII, 119 p. 9 illus : online resource
著者標目	*Jafarpour, Saber author Lewis, Andrew D author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Dynamical systems LCSH:Topological groups LCSH:Lie groups FREE:Systems Theory, Control FREE:Dynamical Systems FREE:Topological Groups and Lie Groups
一般注記	Introduction -- Fibre Metrics for Jet Bundles -- Finitely Differentiable, Lipschitz, and Smooth Topologies -- The COhol-topology for the Space of Holomorphic Vector Fields -- The Cw-topology for the Space of Real Analytic Vector Fields -- Time-Varying Vector Fields -- References 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 HTTP:URL=https://doi.org/10.1007/978-3-319-10139-2

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