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Sturm-Liouville operators with inner singularities and indefinite inner products

Presented by: 
H Langer Vienna University of Technology
Date: 
Tuesday 6th September 2011 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
We consider SL differential operators with a potential having a singularity in the interior of the interval. In some situations (e.g. for a Bessel type singularity) the differential expression generates a self-adjoint operator in a Pontryagin space. These considerations are related to M.G.Krein's method for solving the inverse spectral problem for SL operators. Joint work with Malcolm Brown and Matthias Langer.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons