On the solution of a particular integral equation through Gram-Schmidt orthogonalization of sinc functions

In this work a technique of solution for a class of linear equations in a Hilbert space H is described. The method is based on the Gram-Schmidt orthogonalization of a suitable base of a subspace of H. A particular case when the operator is the product of two projection operators is considered. Finally an application to an integral equation originating from a communication problem is presented.