The plaey-wiener-levinson theorem and the computation of strum-liouville eigenvalues: irregular sampling

Abstract

In this paper we shall develop further the sampling theory approach to thc computation of eigenvalues of Sturm-Liouville problems with general separable and coupled (real or complex) boundary conditions. We shall be using irregular sapling to recover the boundary function whose zeroes are the square root of the desired eigenvalues

Keywords:

• Shum-Liouville problems:
• Whittaker-Shannon-Kotel'nikov sampling theorem
• Paley- Wiener-Levinson theorem
• eigenvalues
• Sturm-Liouville problems

AMS:

• 34L15