“…When the weight is supported on the unit circle or on the real line, this problem was studied by many authors, including Lenard, Fisher, Hartwig, Widom, Basor, Böttcher, Silbermann, Ehrhardt, Deift, Its and Krasovsky, see e.g. [17,40,26] for some historical background, [30,27,62,36,37] for structured determinants with discontinuities near a hard edge, and [33,44] for merging discontinuities in the bulk.…”