Uniform doubling for abelian products with $\operatorname{SU}(2)$
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910779409694720 |
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| author | Eldredge, Nathaniel Gordina, Maria Saloff-Coste, Laurent |
| author_facet | Eldredge, Nathaniel Gordina, Maria Saloff-Coste, Laurent |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform doubling for abelian products with $\operatorname{SU}(2)$ Eldredge, Nathaniel Gordina, Maria Saloff-Coste, Laurent Differential Geometry Analysis of PDEs Probability Primary 53C21, Secondary 35K08, 53C17, 58J35, 58J60, 22C05, 22E30 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. |
| title | Uniform doubling for abelian products with $\operatorname{SU}(2)$ |
| topic | Differential Geometry Analysis of PDEs Probability Primary 53C21, Secondary 35K08, 53C17, 58J35, 58J60, 22C05, 22E30 |
| url | https://arxiv.org/abs/2412.17102 |