3 papers
math.SP2025
On Fractal Continuity Properties of Certain One-Dimensional Schrödinger Operators
Netanel Levi
We construct examples of one-dimensional Schrödinger operators that illustrate the subtle nature of fractal continuity properties of spectral measures. First, we present half-line…
math.SP2025
Spectral Multiplicity Bounds for Jacobi Operators on Star-Like Graphs
Netanel Levi, Tal Malinovitch
We study the spectral multiplicity of Jacobi operators on star-like graphs with branches. Recently, it was established that the multiplicity of the singular continuous spectrum…
math.SP2024
Eigenfunction Expansion and the Decomposition of Jacobi Operators on
Netanel Levi
Let be a Jacobi operator on . We prove an eigenfunction expansion theorem for the singular part of using subordinate solutions to the eigenva…