Fredholm Integral Equations of the Second Kind (Hermitian Kernel)

Stephen M. Zemyan
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Stephen M. Zemyan: Pennsylvania State University Mont Alto, Department of Mathematics

Chapter Chapter 3 in The Classical Theory of Integral Equations, 2012, pp 85-149 from Springer

Abstract: Abstract A Hermitian kernel is a kernel that satisfies the property $${K}^{{_\ast}}(x,t) = \overline{K(t,x)} = K(x,t)$$ in the square Q(a, b) = { (x, t): a ≤ x ≤ b and a ≤ t ≤ b}. We assume as usual that K(x, t) is continuous in Q(a, b).

Keywords: Hermitian Kernel; Solving Fredholm Integral Equations; Bilinear Expansion; Hilbert-Schmidt Theorem; Fredholm Operator (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8349-8_3

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