A connection between the Uncertainty Principles on the real line and on\n the circle

2013/07/18 by Nils Byrial Andersen, Andersen, Nils Byrial
Computer Science · Decision Sciences · Mathematics · #Digital Filter Design and Implementation #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Numerical Methods and Algorithms #Probabilistic and Robust Engineering Design

paper · pdf · doi:10.48550/arxiv.1307.4904

openalex publication_date 2013/07/18 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

The purpose of this short note is to exhibit a new connection between the\nHeisenberg Uncertainty Principle on the line and the Breitenberger Uncertainty\nPrinciple on the circle, by considering the commutator of the multiplication\nand difference operators on Bernstein functions\n

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