ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2018-09-01
|
| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5451&lang=ru |
| _version_ | 1819204026320814080 |
|---|---|
| author | Isaev K . P . |
| author_facet | Isaev K . P . |
| author_sort | Isaev K . P . |
| collection | DOAJ |
| description | We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a rule, satisfies the Lipschitz condition. We prove the theorem on approximation of such subharmonic functions. Also we prove the theorem on joint approximation of two subharmonic functions. |
| first_indexed | 2024-12-23T04:29:16Z |
| format | Article |
| id | doaj.art-0f9e8622e7414e9dbef9d621e1af7886 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-23T04:29:16Z |
| publishDate | 2018-09-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-0f9e8622e7414e9dbef9d621e1af78862022-12-21T18:00:04ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322018-09-017(25)Special Issue123010.15393/j3.art.2018.5451ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR Isaev K . P .0 Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences (Institute of Mathematics UFRC RAS; Bashkir State University (BashSU)We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a rule, satisfies the Lipschitz condition. We prove the theorem on approximation of such subharmonic functions. Also we prove the theorem on joint approximation of two subharmonic functions.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5451&lang=rusubharmonic functionapproximationentire functionRiesz measure |
| spellingShingle | Isaev K . P . ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR Проблемы анализа subharmonic function approximation entire function Riesz measure |
| title | ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR |
| title_full | ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR |
| title_fullStr | ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR |
| title_full_unstemmed | ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR |
| title_short | ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR |
| title_sort | on entire functions with given asymptotic behavior |
| topic | subharmonic function approximation entire function Riesz measure |
| url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5451&lang=ru |
| work_keys_str_mv | AT isaevkp onentirefunctionswithgivenasymptoticbehavior |