On the equivalence of differential operators of infinite order with constant coefficients

On the equivalence of differential operators of infinite order with constant coefficients

We investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions. We also study the conditions of continuity of a differential operator of infinite order with variable coefficien...

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Bibliographic Details
Main Author: Yuriy Linchuk
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-07-01
Series:Mathematica Bohemica
Subjects:
space of analytic functions
operator of differentiation of infinite order
equivalence of operators
commutant
Online Access:http://mb.math.cas.cz/full/142/2/mb142_2_3.pdf
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spelling doaj-968175371e874a8ea6415c12cb93b3f42020-11-25T02:18:33ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-07-01142213714310.21136/MB.2016.0007-16MB.2016.0007-16On the equivalence of differential operators of infinite order with constant coefficientsYuriy LinchukWe investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions. We also study the conditions of continuity of a differential operator of infinite order with variable coefficients in such space.http://mb.math.cas.cz/full/142/2/mb142_2_3.pdf space of analytic functions operator of differentiation of infinite order equivalence of operators commutant
collection DOAJ
language English
format Article
sources DOAJ
author Yuriy Linchuk
spellingShingle Yuriy Linchuk
On the equivalence of differential operators of infinite order with constant coefficients
Mathematica Bohemica
space of analytic functions
operator of differentiation of infinite order
equivalence of operators
commutant
author_facet Yuriy Linchuk
author_sort Yuriy Linchuk
title On the equivalence of differential operators of infinite order with constant coefficients
title_short On the equivalence of differential operators of infinite order with constant coefficients
title_full On the equivalence of differential operators of infinite order with constant coefficients
title_fullStr On the equivalence of differential operators of infinite order with constant coefficients
title_full_unstemmed On the equivalence of differential operators of infinite order with constant coefficients
title_sort on the equivalence of differential operators of infinite order with constant coefficients
publisher Institute of Mathematics of the Czech Academy of Science
series Mathematica Bohemica
issn 0862-7959
2464-7136
publishDate 2017-07-01
description We investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions. We also study the conditions of continuity of a differential operator of infinite order with variable coefficients in such space.
topic space of analytic functions
operator of differentiation of infinite order
equivalence of operators
commutant
url http://mb.math.cas.cz/full/142/2/mb142_2_3.pdf
work_keys_str_mv AT yuriylinchuk ontheequivalenceofdifferentialoperatorsofinfiniteorderwithconstantcoefficients
_version_ 1724881426651807744

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