Heat kernel and Riesz transform on non-compact metric measure spaces

非紧度量测度空间上的热核和 Riesz 变换

• 批准号: DP130101302
• 负责人: A/Prof Adam Sikora
• 金额: $ 23.45万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2013
• 资助国家: 澳大利亚
• 起止时间: 2013-02-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP130101302
• 关键词: Heat; kernel; Riesz; transform; non

This project will develop new techniques in heat kernel theory, with applications to such important topics as Schrodinger model for quantum mechanics. The proposed research is at the forefront of research in harmonic analysis and partial differential equations and will further enhance Australia's high international standing in these research fields.

该项目将开发热核理论的新技术，并将其应用于量子力学薛定谔模型等重要主题。拟议的研究处于调和分析和偏微分方程研究的前沿，将进一步提高澳大利亚在这些研究领域的较高国际地位。