Fredholm Integral Equations of the Second Kind (Hermitian Kernel)

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).