3 papers
math.SP2026
Johnson-Schwartzman Gap Labelling for Metric and Discrete Decorated Graphs
Ram Band, Gilad Sofer
We study Schrödinger operators on metric and discrete decorated graphs. The values taken by the integrated density of states (IDS) on spectral gaps are called gap labels. A natural…
math.SP2025
Spectral flow and Robin domains on metric graphs
Ram Band, Marina Prokhorova, Gilad Sofer
This paper is devoted to the Neumann-Kirchhoff Laplacian on a finite metric graph. We prove an index theorem relating the nodal deficiency of an eigenfunction with (1) the Morse in…
math.FA2020
Three Classification Results In The Theory Of Weighted Hardy Spaces On The Ball
Danny Ofek, Gilad Sofer
We present a natural family of Hilbert function spaces on the d-dimensional complex unit ball and classify which of them satisfy that subsets of the ball yield isometrically isomor…