论文信息 - One-dimensional Singular Integral Equations

One-dimensional Singular Integral Equations

A class of singular integral equations having solution in closed form is considered. This class contains the characteristic equation and other equations associated with it. Equations are solved by their reduction to some Riemann boundary value problems in generalized Hölder spaces Hφ (Γ), where Γ is a closed rectifiable Jordan curve for which the Plemelj–Privalov theorem holds.

Juan Bory Reyes | Ricardo Abreu Blaya | R. Blaya | J. Reyes

[1] E. P. Dolzhenko. On the removal of singularities of analytic functions , 1970 .

[2] E. Guseĭnov. THE PLEMELJ-PRIVALOV THEOREM FOR GENERALIZED HÖLDER CLASSES , 1993 .

[3] I. Gohberg,et al. Factorization of Matrix Functions and Singular Integral Operators , 1980 .

[4] Siegfried Prössdorf,et al. Some classes of singular equations , 1978 .

[5] U. Neri. Singular integral operators , 1971 .

[6] S. Rolewicz,et al. Equations in linear spaces , 1968 .

[7] M. Rakowski,et al. On normal solvability of the Riemann problem with singular coefficient , 1997 .

[8] I. N. Sneddon,et al. Boundary value problems , 2007 .

[9] I. Spitkovsky. Singular integral operators with PC symbols on the spaces with general weights , 1992 .

[10] Joan Verdera,et al. The Cauchy integral, analytic capacity, and uniform rectifiability , 1996 .

[11] F. D. Gakhov. RIEMANN BOUNDARY VALUE PROBLEM , 1966 .

[12] Jian-ke Lu,et al. Boundary Value Problems for Analytic Functions , 1994 .

[13] G. David,et al. Opérateurs intégraux singuliers sur certaines courbes du plan complexe , 1984 .

[14] P M Tamrazov,et al. CONTOUR AND SOLID STRUCTURE PROPERTIES OF HOLOMORPHIC FUNCTIONS OF A COMPLEX VARIABLE , 1973 .