2 papers
math.CV2025
Quadrature Domains and the Faber Transform
Andrew J. Graven, Nikolai G. Makarov
We present a framework for reconstructing any simply connected, bounded or unbounded, quadrature domain from its quadrature function . Using the Faber transform, we derive…
math.CV2025
Etudes in the inverse spectral problem, II
Nikolai Makarov, Alexei Poltoratski
We apply the approach developed in our previous papers to obtain examples of solutions to the inverse spectral problem (ISP) for the canonical Hamiltonian system. One of our goals…