On the $n$-similarity of the operators which are left inverse to the $n^{th}$ degree of the integration operator in the spaces of analytic functions

T.I. Zvozdetskyi

On the $n$ -similarity of the operators which are left inverse to the $n^{th}$ degree of the integration operator in the spaces of analytic functions

Authors

T.I. Zvozdetskyi Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine

Keywords:

integration operator, differentiation operator,

n

$n$ -similarity of the operators, space of analytic functions

Published online: 2012-12-27

Abstract

We investigate the conditions of the $n$ -similarity of the $n^{\rm th}$ degree of the differentiation operator to an operator which is left inverse to the $n^{\rm th}$ degree of the integration operator in the spaces of analytic functions.

Article (Українська)

How to Cite

(1)

Zvozdetskyi, T. On the

n

$n$ -Similarity of the Operators Which Are Left Inverse to the

n^{t h}

$n^{th}$ Degree of the Integration Operator in the Spaces of Analytic Functions. Carpathian Math. Publ. 2012, 4, 261-267.

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On the $n$ -similarity of the operators which are left inverse to the $n^{th}$ degree of the integration operator in the spaces of analytic functions

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On the nnn-similarity of the operators which are left inverse to the nthnthn^{th} degree of the integration operator in the spaces of analytic functions

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On the $n$ -similarity of the operators which are left inverse to the $n^{th}$ degree of the integration operator in the spaces of analytic functions