Spectral approximations for Wiener-Hopf operators
The authors consider spectral properties of convolution type operators \(K_{\beta}f=\int^{\beta}_{0}k(x-t)f(t)dt\), \(\beta \leq +\infty\), in the space of bounded and continuous on [0,\(\beta\)) functions. Here \(k(t)\in L_ 1(R)\). They compare the spectrum of the Wiener-Hopf operator \(K=K_{\infty}\) with the corresponding spectrum of the finite- section operator \(K_{\beta}\), \(\beta <\infty.\) It is noted that some results of this paper are known.
scientific article; zbMATH DE number 4159376