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On Inverse Problems for Trees

Thursday 26th April 2007 - 14:30 to 15:30
INI Seminar Room 1

The uniqueness question for the inverse problem for a Schr\"odinger equation on a compact interval was answered by theorems due to Borg, Levinson, and Marchenko for various sets of data (two spectra, one spectrum and boundary data of eigenfunctions, and one spectrum and norming constants of eigenfunctions, respectively). These theorems have generalizations to finite trees which will be presented and discussed.

This is joint work with Malcolm Brown, Cardiff.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons