Representation of the norming constants by two spectra

Abstract

The representation of the norming constants by 2 spectra was studied by Levitan, Gasymov (and others) for the Sturm-Liouville problem with boundary conditions $y(0)cosalpha +y'(0)sinalpha=0$, $y(pi)coseta+y'(pi)sineta =0$, when $sin alpha eq 0$ and $sineta eq 0$. We investigate the representation by 2 spectra without these restrictions.

Keywords

• Sturm-Liouville problem
• eigenvalues
• norming constants