Transmutation for systems by spectral methods

Abstract

Working with half line systems we enlarge upon the theory which displays the fundamental quantities in various integral equations in terms of underlying transmutational spectral integrals. In particular we develop a spectral formulation for a Marcenko (M) type equation and for the Gopinath-Sondhi equation.

AMS (MOS):

• 34A55
• 34B25
• 35L40
• 35B25