Ali Ben Amor, Christian Remling
Direct and inverse spectral theory of one-dimensional Schr"odinger operators with measures
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ABSTRACT.  We present a direct and rather elementary 
method for defining and analyzing 
one-dimensional Schr\"odinger operators $H=-d^2/dx^2+\mu$ 
with measures as potentials. The basic idea is to let the 
(suitably interpreted) equation $-f''+\mu f=zf$ take center 
stage. We show that the basic results from direct and 
inverse spectral theory then carry over to Schr\"odinger 
operators with measures.