Criteria for the Poincare-Hardy inequalities

Mon, 18/05/2015 - 14:00
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Abstract: 
A number of topics in the qualitative spectral analysis of the  Schr\"odinger operator $-\Delta + V$
are surveyed. In particular,  results concerning the positivity and semiboundedness of this operator.
The attention is focused on conditions both necessary and sufficient, as well as on their sharp corollaries.