Extensions of the Heisenberg-Weyl inequality
type: Item
instance of: scholarly article
title: Extensions of the Heisenberg-Weyl inequality
zbMATH Open document ID: 0589.42009
DOI: 10.1155/S0161171286000212
author: B. George
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46046
review text: Summary: A number of generalizations of the classical Heisenberg-Weyl uncertainty inequality are given. We prove the n-dimensional Hirschman entropy inequality from the optimal form of the Hausdorff-Young theorem and deduce a higher dimensional uncertainty inequality. From a general weighted form of the Hausdorff-Young theorem, a one-dimensional weighted entropy inequality is proved and some weighted forms of the Heisenberg- Weyl inequalities are given.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 3946846
zbMATH Keywords: Heisenberg-Weyl uncertainty inequality
zbMATH Keywords: Hirschman entropy
zbMATH Keywords: Hausdorff- Young theorem
zbMATH Keywords: weighted entropy inequality
Wikidata QID: Q27496142
MaRDI profile type: Publication
OpenAlex ID: W2130720717
description: scientific article; zbMATH DE number 3946846