Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of so...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2017 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169325 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725063901446144 |
|---|---|
| author | Trofymenko, O.D. |
| author_facet | Trofymenko, O.D. |
| citation_txt | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of some non-negative integer powers of the complex differentiation operators ∂ and ∂ ̄.
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| first_indexed | 2025-12-07T18:51:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169325 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T18:51:19Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Trofymenko, O.D. 2020-06-10T15:28:55Z 2020-06-10T15:28:55Z 2017 Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. 1810-3200 2010 MSC. 35B05 https://nasplib.isofts.kiev.ua/handle/123456789/169325 In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of some non-negative integer powers of the complex differentiation operators ∂ and ∂ ̄. The author was supported by the Fundamental Research Programme funded by the Ministry of Education and Science of Ukraine (project 0115U000136). en Інститут прикладної математики і механіки НАН України Український математичний вісник Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane Article published earlier |
| spellingShingle | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane Trofymenko, O.D. |
| title | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_full | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_fullStr | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_full_unstemmed | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_short | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_sort | convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169325 |
| work_keys_str_mv | AT trofymenkood convolutionequationsandmeanvaluetheoremsforsolutionsoflinearellipticequationswithconstantcoefficientsinthecomplexplane |