Distributional Solutions of Singular Integral Equations

Ricardo Estrada and Ram P. Kanwal
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Ricardo Estrada: Universidad de Costa Rica, Escuela de Matemática
Ram P. Kanwal: Penn State University, Department of Mathematics

Chapter 5 in Singular Integral Equations, 2000, pp 175-249 from Springer

Abstract: Abstract In this chapter we study the distributional solutions of singular integral equations. The distributional framework is rather convenient for the study of several singular operators, including the singular integrals that we have studied in the previous chapters. Therefore, the study of singular integral equations in spaces of distributions is a natural and important subject. Interestingly, however, the interpretation of singular integrals at the end-points is not straightforward, and so the study of singular integral equations in spaces of distributions over finite intervals turns out to be somewhat difficult.

Keywords: Integral Equation; Space Versus; Arbitrary Constant; Analytic Representation; Singular Integral Equation (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-1-4612-1382-6_5

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