The Direct and Inverse Scattering Transforms for a Sturm-Liouville Equation on Finite Interval as Smooth Maps. The Geometry of a Set of Finitely-Zoned Potentials
the tied spectrum (i.e., with \( \psi \left( 0 \right) = \psi \left( 1 \right) = 0 \)) and the norming numbers (i.e., the L2-norms of the tied eigenfunctions with \( \psi \prime \left( 0 \right) = 1 \));
the tied and semitied (i.e., with \( \psi \left( 0 \right) = \psi \prime \left( 1 \right) = 0 \)) spectrum;
the periodic and antiperiodic spectrum, the tied spectrum and some sequence of discrete parameters (signs).