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jafarpour saber; lewis andrew d. - time-varying vector fields and their flows

Time-Varying Vector Fields and Their Flows

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 10/2014
Edizione: 2014





Trama

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.




Sommario

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.




Autore

Saber Jafarpour is a PhD candidate in Queen's University's Department of Mathematics and Statistics, Canada.

Andrew D. Lewis is a Professor of Mathematics at Queen's University.  His research interests include control of mechanical systems, geometric mechanics, and nonlinear control.











Altre Informazioni

ISBN:

9783319101385

Condizione: Nuovo
Collana: SpringerBriefs in Mathematics
Dimensioni: 235 x 155 mm Ø 2058 gr
Formato: Brossura
Illustration Notes:VIII, 119 p. 9 illus.
Pagine Arabe: 119
Pagine Romane: viii


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