Heat kernel and Hardy's theorem for Jacobi transform
type: Item
instance of: scholarly article
title: Heat kernel and Hardy's theorem for Jacobi transform
zbMATH Open document ID: 1049.43006
DOI: 10.1142/S0252959903000360
published in: Chinese Annals of Mathematics. Series B
publication date: 2004-05-27T00:00:00Z
review text: The authors first obtain sharp upper and lower bounds for the heat kernel associated with the Jacobi transform. The authors then use this sharp estimates of the heat kernel and a lemma of \textit{A. Sitaram} and \textit{M. Sundari} [Pac. J. Math. 177, 187--200 (1997; Zbl 0882.43005)] to establish some analogues of Hardy's theorem for the Jacobi transform, namely that \(f\) and its Jacobi transform \(\widehat f\) cannot both be ``very rapidly decreasing''.
Mathematics Subject Classification ID: 43A90
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 2068436
author: Takeshi Kawazoe
author: Jian Ming Liu
reviewed by: Madathum K. Viswanath
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2068436