Time-Varying Vector Fields and Their Flows
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Word Count
32,000 words, Guess
Page Count
128 pages
Identifiers
- ISBN-139783319101392
- ISBN-103319101390
- Better World Books9783319101392
- Open LibraryOL37221056M
Classifications
- LCCQ295
Description
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.
Subjects
Other Editions
- Time-Varying Vector Fields and Their Flows
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