Convolution equations and mean-value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
- Autores: Trofymenko O.1
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Afiliações:
- Vasyl’ Stus Donetsk National University
- Edição: Volume 229, Nº 1 (2018)
- Páginas: 96-107
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240377
- DOI: https://doi.org/10.1007/s10958-018-3664-9
- ID: 240377
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Resumo
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 sides are representable in the form of a product of some non-negative integer powers of the complex differentiation operators ∂ and \( \overline{\partial} \).
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Sobre autores
Olga Trofymenko
Vasyl’ Stus Donetsk National University
Autor responsável pela correspondência
Email: odtrofimenko@gmail.com
Ucrânia, Vinnytsia