The Wiener–Hopf equation in Nevanlinna and Smirnov algebras

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.
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