SOLUTION OF A FREDHOLM INTEGRAL-EQUATION OF PHYSICAL INTEREST

An integral equation of the Fredholm type which appears in problems of physical interest-like the dielectric response of an inhomogeneous co nfined quasi-tridimensional electron gas - is studied when the kernel contains an infinite number of dyadic terms. In terms of a representat ion, this amounts to inverting an infinite matrix. The conditions for the existence of a bound inverse are established and an explicit non-r ecursive algorithm is developed which can be used in practical calcula tions to generate successive approximations which converge to the exac t answer.