Alexander M. Powell

activity

20062026

most citedUncertainty principles for orthonormal sequences

41 citations · 71 across the 8 of their papers we have counts for

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math.FA2026

Gabor duals with minimal L1-norm

Rocío Díaz Martín, Mark Lammers, Brendan Miller +1

It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows…

math.FA2020

A Schauder basis for $L_{2}$ consisting of non-negative functions

Daniel Freeman, Alexander M. Powell, Mitchell A. Taylor

We prove that $L_{2} (R)$ contains a Schauder basis of non-negative functions. Similarly, $L_{p} (R)$ contains a Schauder basic sequence of non-negative functions such…

math.FA2015★ 14 cited

A Sharp Balian-Low Uncertainty Principle for Shift-Invariant Spaces

Douglas P. Hardin, Michael C. Northington V., Alexander M. Powell

A sharp version of the Balian-Low theorem is proven for the generators of finitely generated shift-invariant spaces. If generators ${f_{k}}_{k = 1}^{K} \subset L^{2} (R^{d})$ are t…

Gabor duals with minimal L1-norm

A Schauder basis for L2​ consisting of non-negative functions

A Sharp Balian-Low Uncertainty Principle for Shift-Invariant Spaces

A Schauder basis for $L_{2}$ consisting of non-negative functions