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Modified Expansion Theorem for Sturm-Liouville problem with transmission conditions (1303.6898v1)
Published 27 Mar 2013 in math.CA and math.SP
Abstract: This paper is devoted to the derivation of expansion a associated with a discontinuous Sturm-Liouville problems defined on $[-\pi, 0)\cup(0,\pi]$. We derive an eigenfunction expansion theorem for the Green's function of the problem as well as a theorem of uniform convergence of a certain class of functions.
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