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Inverse spectral problems on compact and noncompact trees

Thursday 5th April 2007 - 16:50 to 17:20
INI Seminar Room 1

Second-order differential operators on compact or noncompact trees with standard or general mathching conditions in internal vertices are studied. We establish properties of the spectral characteristics and investigate the inverse problem of recovering the operator from the so-called Weyl vector. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing the solution.

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