Abstract
We study conformal mappings of a band without some vertical symmetric slits into the plane without horizontal slits (that lie on the real axis). Sharp two-sided estimates involving the lengths of slits and other parameters are obtained. In terms of the spectral theory of Jacobi matrices, we obtain sharp estimates involving isospectral parameters and norms of potentials. Bibliography: 9 titles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have