Localization and landscape functions on quantum graphs.

Autor: II, Evans M. Harrell, Maltsev, Anna V.
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Zdroj: Transactions of the American Mathematical Society; Mar2020, Vol. 373 Issue 3, p1701-1729, 29p
Abstrakt: We discuss explicit landscape functions for quantum graphs. By a ''landscape function'' Υ (x) we mean a function that controls the localization properties of normalized eigenfunctions ψ (x) through a pointwise inequality of the form |ψ| ≤ ;Υ (x). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index