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

页码：365 / 380

页数：16

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