03640nam 22007335 450 991029998440332120200629200910.03-319-10139-010.1007/978-3-319-10139-2(CKB)3710000000261958(EBL)1966932(OCoLC)896832289(SSID)ssj0001372816(PQKBManifestationID)11866427(PQKBTitleCode)TC0001372816(PQKBWorkID)11305159(PQKB)10506043(MiAaPQ)EBC1966932(DE-He213)978-3-319-10139-2(PPN)18209555X(EXLCZ)99371000000026195820141010d2014 u| 0engur|n|---|||||txtccrTime-Varying Vector Fields and Their Flows /by Saber Jafarpour, Andrew D. Lewis1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (125 p.)SpringerBriefs in Mathematics,2191-8198Description based upon print version of record.3-319-10138-2 Includes bibliographical references at the end of each chapters.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.SpringerBriefs in Mathematics,2191-8198System theoryDynamicsErgodic theoryTopological groupsLie groupsSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XTopological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132System theory.Dynamics.Ergodic theory.Topological groups.Lie groups.Systems Theory, Control.Dynamical Systems and Ergodic Theory.Topological Groups, Lie Groups.514.72Jafarpour Saberauthttp://id.loc.gov/vocabulary/relators/aut721238Lewis Andrew Dauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299984403321Time-Varying Vector Fields and Their Flows2536887UNINA