11 papers
Dynamical phase retrieval for Schr{ö}dinger evolution on finite graphs
Philippe Jaming, Azita Mayeli
The paper studies when magnitude‑only (phaseless) measurements of a quantum state evolving under a graph Schrödinger operator uniquely determine the initial state, giving spectral…
Localized frames on Euclidean balls
Kevin Hughes, Arie Israel, Azita Mayeli
We construct explicit wave packet frames adapted to Euclidean balls and use them to obtain quantitative eigenvalue estimates for spatio--spectral limiting operators. Let \(d\geq 2\…
Trace bounds for limiting operators on rough domains
Kevin Hughes, Arie Israel, Azita Mayeli
This work concerns a quantitative form of Landau's eigenvalue theorem for spatio-spectral limiting operators. We isolate a simple mechanism that converts the problem of estimating…
Spectral synthesis on Riemannian manifolds
A. Iosevich, A. Mayeli, E. Wyman
We study spectral synthesis for measures supported on thin subsets of compact Riemannian manifolds. We prove that under natural non-concentration conditions, such measures admit qu…
Wave Packets and Eigenvalue Estimates for Limiting Operators on the Disk
Kevin Hughes, Arie Israel, Azita Mayeli
We study two-dimensional spatio-spectral limiting operators \[ T_R := P_{D(R)} B_S P_{D(R)} : L^2(\mathbb{R}^2) \rightarrow L^2(\mathbb{R}^2), \] where is a disk of radius $…
Wave packet systems and connections to spectral analysis of limiting operators
Kevin Hughes, Arie Israel, Azita Mayeli
We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processin…