Uncertainty principles for the Jacobi transform
type: Item
instance of: scholarly article
title: Uncertainty principles for the Jacobi transform
zbMATH Open document ID: 1166.43004
author: Takeshi Kawazoe
published in: Tokyo Journal of Mathematics
publication date: 2008-09-29T00:00:00Z
review text: This paper gives some estimates of the \(L^p\)-norm of the Jacobi transform \(\hat f_{\alpha, \beta}(\lambda)\) with respect to a certain measure. The main theorem is an uncertainty principle that bounds the product of the ``moments'' of \(f\) and \(\hat f\) from below. An uncertainty principle on \(SU(1,1)\) is also obtained.
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 5347988
zbMATH Keywords: Uncertainty Principle
zbMATH Keywords: Jacobi transform
zbMATH Keywords: SU(1, 1)
zbMATH Keywords: spherical transform
reviewed by: Hongyu He
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1219844827
OpenAlex ID: W1987920578
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DOI: 10.3836/TJM/1219844827
description: scientific article; zbMATH DE number 5347988