Corrections to the paper T.H. Koornwinder, Zhedanov's algebra AW(3) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra, SIGMA 4 (2008), 052; arXiv:0711.2320v3 [math.QA]. In (2.11) and in the two anti-algebra isomorphisms given in Remark 2.7 the parameter $a$ should be sent to $(q^{-1}abcd)^{1/2}$ rather than to $(q^{-1}abcd)^{-1/2}$,