Localization and landscape functions on quantum graphs

25 May 2018 Harrell Evans M. II Maltsev Anna V.

We discuss explicit landscape functions for quantum graphs. By a "landscape function" $\Upsilon(x)$ we mean a function that controls the localization properties of normalized eigenfunctions $\psi(x)$ through a pointwise inequality of the form $$ |\psi(x)| \le \Upsilon(x)... (read more)

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  • SPECTRAL THEORY