Abstract
We give a realization of the Beisert, Eden and Staudacher
equation for the planar 
= 4 supersymetric gauge theory which
seems to be particularly useful to study the strong coupling limit.
We are using a linearized version of the BES equation as two coupled
equations involving an auxiliary density function. We write these
equations in terms of the resolvents and we transform them into a
system of functional, instead of integral, equations. We solve the
functional equations perturbatively in the strong coupling limit and
reproduce the recursive solution obtained by Basso, Korchemsky and
Kotański. The coefficients of the strong coupling expansion are
fixed by the analyticity properties obeyed by the resolvents.
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