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math.SP2008★ 15 cited
M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
B. M. Brown, G. Grubb, I. G. Wood
In this paper, we combine results on extensions of operators with recent results on the relation between the M-function and the spectrum, to examine the spectral behaviour of bound…
math.SP2000
Analytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay
B. M. Brown, M. S. P. Eastham
We are concerned with the Sturm-Liouville problem on the half line. We show that when the potential is subject only to power decay at infinity the solution may be continu…