Functional calculus generated by a square pencil

被引：0
作者：
I. V. Kurbatova
机构：
[1] Voronezh State Technical University, Voronezh
来源：
Journal of Mathematical Sciences | 2012年 / 182卷 / 5期
关键词：
Differential Equation; Analytic Function; Linear Transformation; Banach Algebra; Functional Calculus;
D O I：
10.1007/s10958-012-0769-4
中图分类号：
学科分类号：
摘要：
A linear transformation Υ which assigns to each analytic function defined on the spectrum of the pencil λ {mapping} λ 2E + λF + H an element of a special Banach algebra is defined. The transformation Υ maps the product of two functions to the product of two elements of the algebra. As an application, as fornula for the solution of the differential equation Eẍ(t)+Fẋ(t)+Hx(t)=f(t) is given. Bibliography: 12 titles. © 2012 Springer Science+Business Media, Inc.
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页码：646 / 655
页数：9
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