Netanel Levi

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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 $m$ branches. Recently, it was established that the multiplicity of the singular continuous spectrum…

math.SP2024

Eigenfunction Expansion and the Decomposition of Jacobi Operators on $Z$

Netanel Levi

Let $J$ be a Jacobi operator on $ℓ^{2} (Z)$ . We prove an eigenfunction expansion theorem for the singular part of $J$ using subordinate solutions to the eigenva…

On Fractal Continuity Properties of Certain One-Dimensional Schrödinger Operators

Spectral Multiplicity Bounds for Jacobi Operators on Star-Like Graphs

Eigenfunction Expansion and the Decomposition of Jacobi Operators on Z

Eigenfunction Expansion and the Decomposition of Jacobi Operators on $Z$