Inverse Spectral Theory for Sturm-liouville Problems with Finite Spectrum
نویسنده
چکیده
For any positive integer n and any given n distinct real numbers we construct a Sturm-Liouville problem whose spectrum is precisely the given set of n numbers. Such problems are of Atkinson type in the sense that the weight function or the reciprocal of the leading coefficient is identically zero on at least one subinterval.
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