Directional Heisenberg uncertainty product

A. Krivoshein, E. Lebedeva, E. Neiman, J. Prestin

Abstract

A directional time-frequency localization measure for functions defined on the ddimensional 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.

Original languageEnglish
JournalMathematical Inequalities and Applications
Volume22
Issue number1
Pages (from-to)377-399
Number of pages23
ISSN1331-4343
DOIs
Publication statusPublished - 01.01.2019

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