Time-varying vector fields and their flows
Saber Jafarpour, Andrew Lewis
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
หมวดหมู่:
ปี:
2014
สำนักพิมพ์:
Springer
ภาษา:
english
จำนวนหน้า:
125
ISBN 10:
3319101382
ISBN 13:
9783319101385
ซีรีส์:
SpringerBriefs in Mathematics
ไฟล์:
PDF, 1.22 MB
IPFS:
,
english, 2014
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