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20232026
most citedAn example related to Whitney's extension problem for when

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math.FA2026

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\…

math.FA2026

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 $…

math.FA2024

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 (…