On the Uniform Stability of Recovering Sine-Type Functions with Asymptotically Separated Zeros

We obtain the uniform stability of recovering entire functions special form from their zeros. To such a form, we can reduce characteristic determinants strongly regular differential operators and pencils first second orders, including systems with asymptotically separated eigenvalues whose numbers lie on line containing origin, as well nonlocal perturbations these operators. prove that dependence sequences zeros is Lipschitz continuous respect to natural metrics each ball finite radius. Results this type be used for studying inverse spectral problems. In addition, general theorems asymptotics class equivalent representation via an infinite product are obtained, which give corresponding results many specific