Schwartz模中倒移算子的循环向量和不变子空间

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-01-31 DOI:10.1134/S0016266322030030

O. A. Ivanova, S. N. Melikhov

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引用次数: 0

摘要

描述了指数型全函数的Schwartz模中倒移算子的循环向量和固有闭不变子空间。应用所得结果，用Duhamel积作为乘法，描述了含有\(0\)的闭或开区间上无限可微函数的代数理想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cyclic Vectors and Invariant Subspaces of the Backward Shift Operator in Schwartz Modules

Cyclic vectors and proper closed invariant subspaces of the backward shift operator in the Schwartz modules of entire functions of exponential type are described. The results are applied to describe ideals of the algebra of infinitely differentiable functions on a closed or open interval containing \(0\) with Duhamel product as multiplication.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.