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This article is cited in 2 scientific papers (total in 4 papers)
The Wiener–Hopf equation in Nevanlinna and Smirnov algebras
V. S. Vladimirov
Abstract:
A generalized Wiener–Hopf equation on the semiaxis is considered in the class of analytic functionals which are the Fourier transform of Nevanlinna algebras $N^\pm$ or Smirnov algebras $N_*^\pm$. The problem, connected with this equation, of factoring measurable functions $\rho(x)$ on the axis in the algebras $N_*^\pm$ which satisfy the condition $(1+x^2)^{-1}\ln|\rho(x)|\in \mathscr L_1(-\infty,\infty)$ and also the problem of linear junction $\rho\varphi^+=\psi^-+F^+$ in the algebras $N^\pm$ and $N_*^\pm$ are also considered.
Bibliography: 24 titles.
Received: 09.02.1987
Citation:
V. S. Vladimirov, “The Wiener–Hopf equation in Nevanlinna and Smirnov algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987), 767–784; Math. USSR-Izv., 31:1 (1988), 77–94
Linking options:
https://www.mathnet.ru/eng/im1318https://doi.org/10.1070/IM1988v031n01ABEH001044 https://www.mathnet.ru/eng/im/v51/i4/p767
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Abstract page: | 608 | Russian version PDF: | 213 | English version PDF: | 10 | References: | 73 | First page: | 4 |
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