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Abstract for the talk by Dr. Pankrashkin (U Paris Sud) 2/18/H27
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Spectral problems, functional calculus and evolution equations associated with some discrete, differential and integral operators on graphs

In this talk we would like to discuss the spectral properties of equilateral quantum graphs. We will show that by a suitable unitary equivalence the problem can be reduced to the study of discrete Laplace-type operators. We will also discuss the structure of the solutions of the associated wave equation and related d'Alembert formulas.

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