Directional Heisenberg uncertainty product
Functional Analysis
2018-06-06 v1
Abstract
A directional time-frequency localization measure for functions defined on the -dimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.
Keywords
Cite
@article{arxiv.1806.01740,
title = {Directional Heisenberg uncertainty product},
author = {A. Krivoshein and E. Lebedeva and E. Neiman and J. Prestin},
journal= {arXiv preprint arXiv:1806.01740},
year = {2018}
}
Comments
20 pages