Abstract <p> Inversion formulas for a number of singular integral equations in classes of generalizedfunctions that are continuous linear functionals on the closed linear spans of systems of orthogonalpolynomials are obtained.</p>

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Generalized Solutions of Singular Integral Equations and Inversion Formulas

  • N. B. Pleshchinskii

摘要

Abstract

Inversion formulas for a number of singular integral equations in classes of generalizedfunctions that are continuous linear functionals on the closed linear spans of systems of orthogonalpolynomials are obtained.