A singular integral equation with a Cauchy kernel and a Carleman shift is shown to be Noetherian in a Besov space B^{1/p}_{p,1} when certain determinant conditions hold, with an explicit index formula.
Bliev, Generalized analytic functions in fractional spaces
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Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces
A singular integral equation with a Cauchy kernel and a Carleman shift is shown to be Noetherian in a Besov space B^{1/p}_{p,1} when certain determinant conditions hold, with an explicit index formula.