Abstract
Noting that the Casimir operators of the 1+1 conformal group SO(2,2) are vanishing identically, we discuss its SO(2,1) subgroups. With them, we define the spherical function and present the differential equation for it. It contains the Tchebycheff as its special case. Regular solutions are given in terms of the hypergeometric function. They provide a system of orthogonal functions
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