Abstract
ABSTRACTWe study a class of Toeplitz operators with discontinuous symbols, stimulated by classical work of Douglas and Widom. We extend the notion of a locally sectorial symbol from the setting of scalar Toeplitz operators on the circle to systems, acting on sections of vector bundles over a class of multidimensional domains with minimal smoothness, known as uniformly rectifiable domains, and establish Fredholm properties in this expanded setting.
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