Abstract
For a domain Ω ⊂ C, the Kerzman-Stein operator is the skew- hermitian part of the Cauchy operator acting on L 2 (bΩ), which is defined with respect to Euclidean measure. In this paper we compute the spectrum of the Kerzman-Stein operator for three domains whose boundaries consist of two circular arcs: a strip, a wedge, and an annulus. We also treat the case of a domain bounded by two logarithmic spirals.
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