Titlebook: Methods of Spectral Analysis in Mathematical Physics; Conference on Operat Jan Janas,Pavel Kurasov,Günter Stolz Conference proceedings 2009

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Jacobi Matrices: Eigenvalues and Spectral Gaps,This paper investigates the existence of spectral gaps, and eigenvalues within these spectral gaps, for Jacobi matrices obtained by specific types of oscillating perturbations of unbounded Jacobi matrices with smooth weights. Some results on absolute continuity for such operators are also presented.

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On the Boundary Value Problem for ,-parabolic Equations,We derive a fundamental existence theorem for the equation . with continous initial and boundary data in a space-time cylinder.

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Birkhäuser Basel 2009

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On Inverse Problems for Finite Trees,to finite trees. Specifically, (1) the Dirichlet eigenvalues and the Neumann data of the eigenfunctions determine the potential uniquely (a Levinson-type result) and (2) the Dirichlet eigenvalues and a set of generalized norming constants determine the potential uniquely (a Marchenko-type result).

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