Wiener-Hopf 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 8 in Singular Integral Equations, 2000, pp 339-374 from Springer

Abstract: Abstract The purpose of this chapter is to study the distributional solution of the integral equations of the type (8.1) $$g(x) + \lambda \int_{0}^{\infty } {k(x - y)g(y)dy = f(x), x \geqslant 0}$$ , as well as the corresponding equations of the first kind, the so-called Wiener-Hopf integral equations. Observe that the kernel k(x–y) is a difference kernel and that the interval of integration is [0, ∞).

Keywords: Fourier Transform; Integral Equation; Distributional Solution; Convolution Equation; Unique Decomposition (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-1-4612-1382-6_8

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