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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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2017-07-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/142/2/mb142_2_3.pdf |
| _version_ | 1819243229489397760 |
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| author | Yuriy Linchuk |
| author_facet | Yuriy Linchuk |
| author_sort | Yuriy Linchuk |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-23T14:52:23Z |
| format | Article |
| id | doaj.art-968175371e874a8ea6415c12cb93b3f4 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-23T14:52:23Z |
| publishDate | 2017-07-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-968175371e874a8ea6415c12cb93b3f42022-12-21T17:42:54ZengInstitute 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 |
| 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 |
| title | 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_short | 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 |
| 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 |