Grudskij, S. M. Singular integral equations and the Riemann boundary value problem with infinite index in the space \(L_ p(\Gamma,\omega)\). (Russian) Zbl 0575.45006 Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 1, 55-80 (1985). From the text: In the space \(L_ p(\Gamma,\omega)\) the Riemann boundary value problem \(\phi^+-a\phi^-=f\) on the closed curve \(\Gamma\) is studied. It is assumed that the bounded measurable non-degenerated coefficient a(t) has discontinuities of the second kind at a finite number of points of \(\Gamma\), in neighborhoods of these points the function arg a(t) receives infinity increases. \(\{\) For the entire collection see the author and V.B. Dybin, The Riemann boundary value problem in the space \(L_ p(\Gamma,\rho)\) with almost periodic discontinuities and its coefficients, Mat. Issled 54, 36-49 (1980)\(\}\). Reviewer: Z.Binderman Cited in 1 ReviewCited in 1 Document MSC: 45E05 Integral equations with kernels of Cauchy type 30E25 Boundary value problems in the complex plane Keywords:infinite index; Riemann boundary value problem; discontinuities of the second kind PDFBibTeX XMLCite \textit{S. M. Grudskij}, Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 1, 55--80 (1985; Zbl 0575.45006)