Maslov's canonical operator in abstract spaces

被引：4
|
作者：
Shvedov, OY [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia
来源：
MATHEMATICAL NOTES | 1999年 / 65卷 / 3-4期
关键词：
semiclassical approximation; complex germ; wave packet; Hilbert bundle; asymptotics; phase space; abstract canonical operator;
D O I：
10.1007/BF02675080
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, a number of new methods for constructing asymptotic solutions to various evolution equations has been developed. These asymptotic solutions are expressed at each instant of time via an element y of some smooth manifold y and an element f of some Hilbert space F-y. We study general properties of the mapping that assigns an asymptotic formula to the pair (y, f).
引用
收藏
页码：365 / 380
页数：16
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