Time-varying vector fields and their flows /
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 m...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2014.
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| Series: | SpringerBriefs in Mathematics
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| Online Access: | Click here to view the full text content |
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| 100 | 1 | |a Jafarpour, Saber. |e author | |
| 245 | 1 | 0 | |a Time-varying vector fields and their flows / |c by Saber Jafarpour, Andrew D. Lewis. |
| 264 | 1 | |a Cham |b Springer International Publishing |c 2014. | |
| 300 | |a 1 online resource (VIII, 119 pages) 9 illustration. | ||
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| 490 | 1 | |a SpringerBriefs in Mathematics |x 2191-8198 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 0 | |a Systems theory. | |
| 700 | 1 | |a Lewis, Andrew D. | |
| 710 | 2 | |a SpringerLink (Online service) | |
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| 776 | 0 | 8 | |i Printed edition |z 9783319101385 |
| 830 | 0 | |a SpringerBriefs in Mathematics |x 2191-8198 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-10139-2 |y Click here to view the full text content |
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