|
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 3, Pages 145–157
(Mi uzku1146)
|
|
|
|
Solution of a $\mathbb R$-Linear Conjugation Problem for a Parallel-Layered Medium in the Class of Piecewise Meromorphic Functions
A. Yu. Kazarin Kazan (Volga Region) Federal University
Abstract:
The problem of $\mathbb R$-linear conjugation for parallel-layered $(n+1)$-phase media is solved in the class of piecewise meromorphic functions with given principal parts. The solution is written as a left-sided Fourier integral with a known original. In addition, some sufficient conditions under which the Fourier integral can be represented as an absolutely convergent series are obtained.
Keywords:
parallel-layered media, $\mathbb R$-linear conjugation problem, heterogeneous structures, Milne-Thomson theorem, piecewise meromorphic functions.
Received: 18.04.2012
Citation:
A. Yu. Kazarin, “Solution of a $\mathbb R$-Linear Conjugation Problem for a Parallel-Layered Medium in the Class of Piecewise Meromorphic Functions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 3, Kazan University, Kazan, 2012, 145–157
Linking options:
https://www.mathnet.ru/eng/uzku1146 https://www.mathnet.ru/eng/uzku/v154/i3/p145
|
Statistics & downloads: |
Abstract page: | 257 | Full-text PDF : | 67 | References: | 65 |
|