A trace formula and Schmincke inequality on the half-line

Boumenir, Amin; Tuan, Vu

doi:10.1090/S0002-9939-08-09659-7

A trace formula and Schmincke inequality on the half-line
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by Amin Boumenir and Vu Kim Tuan PDF

Proc. Amer. Math. Soc. 137 (2009), 1039-1049 Request permission

Abstract:

In this paper we derive a trace formula for the Schrödinger operator on the half-line. As a consequence we obtain a Schmincke type inequality with sharp constant. The main tool in our investigation is the inverse spectral Gelfand-Levitan theory, which allows us to compare two Schrödinger operators whose spectra differ by few eigenvalues.

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