XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Edmund Y.-M. Chiang

Complex oscillation theory and semi-finite gap problem of Whittaker-Hill equation

(semi-)finite-gap potentials of Hill's equations have been important in both physics (e.g., solid state physics) and mathematics. We found explicit solutions of the semifinite gap solutions found earlier by Djakov and Mityagin and relate the solutions to Bank-Laine's complex oscillation (value distribution) theory of an Hill's equation.

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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