Vol. 204, No. 2, 2002

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Virgil Pierce

Abstract

In this paper we consider the inverse spectral problem for the Sturm–Liouville Operator on the interval [0,1]. We show that given the Dirichlet and Neumann spectra of such an operator we find a generically uncountable family of potentials with these spectra.

Authors
Virgil Pierce
Department of Mathematics
University of Arizona
Tucson, AZ 85721