SYMMETRY GROUPS OF PARTIAL-DIFFERENTIAL EQUATIONS, SEPARATION OF VARIABLES, AND DIRECT INTEGRAL THEORY

被引：6

作者：

CRADDOCK, M

机构：

[1] School of Mathematics, The Univeristy of New South Wales, Kensington, NSW 2033

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1994年 / 125卷 / 02期

关键词：

D O I：

10.1006/jfan.1994.1133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study unitary symmetries of linear partial differential equations. By applying representation theory we show how to decompose a Hilbert space of solutions to certain classes of equations as direct integrals. (C) 1994 Academic Press, Inc.

引用

页码：452 / 479

页数：28

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