𝐿¹ convergence of the reconstruction formula for the potential function

Chen, Ya-Ting; Cheng, Y.; Law, C.; Tsay, J.

doi:10.1090/S0002-9939-02-06297-4

$L^1$ convergence of the reconstruction formula for the potential function
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by Ya-Ting Chen, Y. H. Cheng, C. K. Law and J. Tsay PDF

Proc. Amer. Math. Soc. 130 (2002), 2319-2324 Request permission

Abstract:

It is known that the potential function of the Sturm-Liouville problem can be reconstructed from the nodal data by a pointwise limit. We show that this convergence is in fact $L^1$.

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