Heat kernel and hardy's theorem for jacobi transform

Takeshi Kawazoe, Jianming Liu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with Jacobi transform, and get some analogues of Hardy's Theorem for Jacobi transform by using the sharp estimate of the heat kernel.

Original languageEnglish
Pages (from-to)359-366
Number of pages8
JournalChinese Annals of Mathematics. Series B
Volume24
Issue number3
DOIs
Publication statusPublished - 2003

Fingerprint

Hardy's Theorem
Heat Kernel
Jacobi
Transform
Upper and Lower Bounds
Analogue
Estimate
Hot Temperature

Keywords

  • Heat kernel
  • Jacobi transform
  • Uncertainty principle

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Heat kernel and hardy's theorem for jacobi transform. / Kawazoe, Takeshi; Liu, Jianming.

In: Chinese Annals of Mathematics. Series B, Vol. 24, No. 3, 2003, p. 359-366.

Research output: Contribution to journalArticle

@article{08de8e6af2de4f7f813b62fe32ab4255,
title = "Heat kernel and hardy's theorem for jacobi transform",
abstract = "In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with Jacobi transform, and get some analogues of Hardy's Theorem for Jacobi transform by using the sharp estimate of the heat kernel.",
keywords = "Heat kernel, Jacobi transform, Uncertainty principle",
author = "Takeshi Kawazoe and Jianming Liu",
year = "2003",
doi = "10.1142/S0252959903000360",
language = "English",
volume = "24",
pages = "359--366",
journal = "Chinese Annals of Mathematics. Series B",
issn = "0252-9599",
publisher = "Springer Verlag",
number = "3",

}

TY - JOUR

T1 - Heat kernel and hardy's theorem for jacobi transform

AU - Kawazoe, Takeshi

AU - Liu, Jianming

PY - 2003

Y1 - 2003

N2 - In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with Jacobi transform, and get some analogues of Hardy's Theorem for Jacobi transform by using the sharp estimate of the heat kernel.

AB - In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with Jacobi transform, and get some analogues of Hardy's Theorem for Jacobi transform by using the sharp estimate of the heat kernel.

KW - Heat kernel

KW - Jacobi transform

KW - Uncertainty principle

UR - http://www.scopus.com/inward/record.url?scp=0141957161&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141957161&partnerID=8YFLogxK

U2 - 10.1142/S0252959903000360

DO - 10.1142/S0252959903000360

M3 - Article

VL - 24

SP - 359

EP - 366

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

SN - 0252-9599

IS - 3

ER -