Report
Uniform doubling for abelian products with $\operatorname{SU}(2)$
| العنوان: | Uniform doubling for abelian products with $\operatorname{SU}(2)$ |
|---|---|
| المؤلفون: | Eldredge, Nathaniel, Gordina, Maria, Saloff-Coste, Laurent |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Mathematics - Probability, Primary 53C21, Secondary 35K08, 53C17, 58J35, 58J60, 22C05, 22E30 |
| الوصف: | We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of $\operatorname{SU}(2) \times \mathbb{R}^n$ for some $n$. In particular, this class includes the four-dimensional unitary group $\operatorname{U}(2)$. As this class contain non-compact as well as compact Lie groups, we discuss a number of analytic and spectral consequences for the corresponding heat kernels. Comment: 35 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2412.17102 |
| رقم الانضمام: | edsarx.2412.17102 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |