The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions
Dale Frymark,
Jessica Stewart Kelly
Abstract:Exceptional Laguerre-type differential expressions form an infinite class of Schrödinger operators having rational potentials and one limit-circle endpoint. In this manuscript, the spectrum of all self-adjoint extensions for a general exceptional Laguerre-type differential expression is given in terms of the Darboux transformations which relate the expression to the classical Laguerre differential expression. The spectrum is extracted from an explicit Weyl m-function, up to a sign.The construction relies prima… Show more
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