A Wiener-Hopf equation arising in elastic contact problems

The integral equation derived in the preceding paper (Spence 1968, referred to as I) is solved by the Wiener-Hopf technique. In order to apply the technique it is necessary to replace the kernel k ( t ), which is algebraically, not exponentially, small as t →∞, by a function k ( t , α) whose Fourier transform K ( w , α) is regular in a strip of finite width enclosing the axis I w = 0, and subsequently to allow α to tend to zero, when K ( w , α) tends to the (discontinuous) transform of k ( t ).