6 papers
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…
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…
Wasserstein Robust Market Making via Entropy Regularization
Zhou Fang, Arie Israel
In this paper, we introduce a robust market making framework based on Wasserstein distance, utilizing a stochastic policy approach enhanced by entropy regularization. We demonstrat…
The Sobolev extension problem on trees and in the plane
Jacob Carruth, Arie Israel
Let be a finite tree with radially decaying weights. We show that there exists a set for which the following two problems are equivalent: (1) Given a (…