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Spectral inequalities, sampling sets, and quantum graphs

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GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

Spectral inequalities, that is, bounding the L2-norm of (a class of) functions with respect to its L2-norm on a restriction to smaller set, is a key assignment in control theory. In this talk we will present such estimates for (linear combinations of) eigenfunctions of one-dimensional vector-valued self-adjoint operators where the restricted set satisfies a certain geometric condition. As an application, we will discuss the setting of the magnetic Laplacian on metric graphs. Joint work with Delio Mugnolo (FerUni Hagen) and Albrecht Seelmann (Technische Universität Dortmund)

This talk is part of the Isaac Newton Institute Seminar Series series.

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