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Taiwanese Journal of Mathematics

AN INFINITE-DIMENSIONAL HEISENBERG UNCERTAINTY PRINCIPLE

Yuh-Jia Lee, Aurel I. Stan

Published Jan 12, 1999• 2 citations
Publisher

Abstract

An analogue of the classical Heisenberg inequality is given for an innite-dimensional space. The proof relies on a commutation relationship and integration by parts formula for Gaussian measure. We also discuss when the equality holds.
DOI
10.11650/tjm.3.1999.1338

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