Abstract
In this paper, we prove Noetherian solvability and obtain the index formula for a singular integral equation with a Carleman shift in Besov spaces. We also obtain the existence of the solution of the singular integral equation as well as their explicit representations in Besov spaces.
Acknowledgments
We thank the anonymous referee for reading the paper carefully and providing thoughtful comments, which improved the exposition of the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).