On Transmutation Operators of the Generalized Bessel Operator in Spaces of Analytic Functions

被引：2

作者：

Linchuk, Yu. S. ^{[1
]}

机构：

[1] Chernivtsi Natl Univ, Dept Math Anal, Kotsjubynskoho 2, UA-58012 Chernovtsy, Ukraine

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 03期

关键词：

Generalized Bessel operator; space of analytic functions; transmutation operator; diagonal operators; hypercyclic operator; CONVOLUTION;

D O I：

10.1007/s00009-017-0920-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the conditions for the similarity of the generalized Bessel operator of m-th order to the operator of m-fold differentiation in the space of all m-even analytic functions in arbitrary domains. We investigate some properties of diagonal operators in this space. We also describe the commutant of the generalized Bessel operator. We investigate the hypercyclicity for the elements of the commutant of the generalized Bessel operator.

引用

页数：14

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