Michael Goldstein

activity

20002022

most citedAlmost Periodicity in Time of Solutions of the KdV Equation

35 citations · 68 across the 13 of their papers we have counts for

collaborators

Showing 2014 · math.SPShow all

3 papers · 2 filters

math.SP2014

A Multi-Scale Analysis Scheme on Abelian Groups with an Application to Operators Dual to Hill's Equation

David Damanik, Michael Goldstein, Milivoje Lukic

We present an abstract multiscale analysis scheme for matrix functions $(H_{ε} (m, n))_{m, n \in T}$ , where $T$ is an Abelian group equipped with a dist…

math.SP2014★ 13 cited

The Isospectral Torus of Quasi-Periodic Schrödinger Operators via Periodic Approximations

David Damanik, Michael Goldstein, Milivoje Lukic

We study the quasi-periodic Schrödinger operator $- ψ " (x) + V (x) ψ (x) = E ψ (x), x \in R$ in the regime of "small" $V(x) = \sum_{m\in\mathbb{Z}^ν}c(m)\exp (2πi mω…

math.SP2014

The Spectrum of a Schrödinger Operator With Small Quasi-Periodic Potential is Homogeneous

David Damanik, Michael Goldstein, Milivoje Lukic

We consider the quasi-periodic Schrödinger operator $[H ψ] (x) = - ψ " (x) + V (x) ψ (x)$ in $L^{2} (R)$ , where the potential is given by $$ V(x) = \sum_{m \in \mathbb{Z}^ν\set…