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010   $a3-319-10139-0
024 7 $a10.1007/978-3-319-10139-2
035   $a(CKB)3710000000261958
035   $a(EBL)1966932
035   $a(OCoLC)896832289
035   $a(SSID)ssj0001372816
035   $a(PQKBManifestationID)11866427
035   $a(PQKBTitleCode)TC0001372816
035   $a(PQKBWorkID)11305159
035   $a(PQKB)10506043
035   $a(MiAaPQ)EBC1966932
035   $a(DE-He213)978-3-319-10139-2
035   $a(PPN)18209555X
035   $a(EXLCZ)993710000000261958
100   $a20141010d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTime-Varying Vector Fields and Their Flows /$fby Saber Jafarpour, Andrew D. Lewis
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (125 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311   $a3-319-10138-2 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aIntroduction -- 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.
330   $aThis short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major contribution of the book is the coherent development of locally convex topologies for the space of real analytic sections of a vector bundle, and the development of this in a manner that relates easily to classically known topologies in, for example, the finitely differentiable and smooth cases. The tools used in this development will be of use to researchers in the area of geometric functional analysis.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aSystem theory
606   $aDynamics
606   $aErgodic theory
606   $aTopological groups
606   $aLie groups
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
615  0$aSystem theory.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aTopological groups.
615  0$aLie groups.
615 14$aSystems Theory, Control.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aTopological Groups, Lie Groups.
676   $a514.72
700   $aJafarpour$b Saber$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721238
702   $aLewis$b Andrew D$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299984403321
996   $aTime-Varying Vector Fields and Their Flows$92536887
997   $aUNINA