Overview
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.
Full Product Details
Author: Saber Jafarpour ,
Andrew D. Lewis
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: 2014 ed.
Dimensions:
Width: 15.50cm
, Height: 0.70cm
, Length: 23.50cm
Weight: 2.058kg
ISBN: 9783319101385
ISBN 10: 3319101382
Pages: 119
Publication Date: 27 October 2014
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
The monograph is devoted to time-varying vector fields with measurable time dependence and with varying degrees of regularity in state . The authors treat all regularity classes, includintg the real analytic one, which has been not studied in detail up till now. the book is well written. That is why I recommend it to specialists in mathematics, physics and also to specialists in control theory. (Miroslaw Doupovec, zbMATH 1321.58001, 2015)
It presents a unified framework for the study of time-varying vector fields with measurable time dependence and different degree of regularity in the state variable. The monograph is well designed for those wanting to be introduced to the rudiments of the theory. (Wojciech Kryszewski, Mathematical Reviews, December, 2015) The monograph is devoted to time-varying vector fields with measurable time dependence and with varying degrees of regularity in state ... . The authors treat all regularity classes, includintg the real analytic one, which has been not studied in detail up till now. ... the book is well written. That is why I recommend it to specialists in mathematics, physics and also to specialists in control theory. (Miroslaw Doupovec, zbMATH 1321.58001, 2015)
Author Information
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.
