Time-Varying Vector Fields and Their Flows

  • Saber Jafarpour
  • Andrew D. Lewis

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Saber Jafarpour, Andrew D. Lewis
    Pages 1-13
  3. Saber Jafarpour, Andrew D. Lewis
    Pages 15-43
  4. Saber Jafarpour, Andrew D. Lewis
    Pages 65-71
  5. Saber Jafarpour, Andrew D. Lewis
    Pages 73-92
  6. Saber Jafarpour, Andrew D. Lewis
    Pages 93-119

About this book

Introduction

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.

Keywords

Fiber Metrics Real Analyticity Time-varying vector fields, real analytic geometry topologies for spaces of sections of vector bundles

Authors and affiliations

  • Saber Jafarpour
    • 1
  • Andrew D. Lewis
    • 2
  1. 1.Department of Mathematics and StatisticsQueen's UniversityKingstonCanada
  2. 2.Department of Mathematics and StatisticsQueen's UniversityKingstonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-10139-2
  • Copyright Information The Authors 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-10138-5
  • Online ISBN 978-3-319-10139-2
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • About this book
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