@Article{JPDE-13-207,
author = {Guji Tian },
title = {Heisenberg's Inequality and Logarithmic Heisenberg's Inequality for Ambiguity Function},
journal = {Journal of Partial Differential Equations},
year = {2000},
volume = {13},
number = {3},
pages = {207--216},
abstract = { In this article we discuss the relation between Heisenberg's inequality and logarithmic Heisenberg's (entropy) inequality for ambiguity function. After building up a Heisenberg's inequality, we obtain a connection of variance with entropy by variational method. Using classical Taylor's expansion, we prove that the equality in Heisenberg's inequality holds if and only if the entropy of 2k - 1 order is equal to (2k - 1}!.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5507.html}
}