تقرير
Stable Coorbit Embeddings of Orbifold Quotients
| العنوان: | Stable Coorbit Embeddings of Orbifold Quotients |
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| المؤلفون: | Qaddura, Yousef, Mixon, Dustin G. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Computer Science - Information Theory |
| الوصف: | Given a real inner product space $V$ and a group $G$ of linear isometries, we construct a family of $G$-invariant real-valued functions on $V$ that we call coorbit filter banks, which unify previous notions of max filter banks and finite coorbit filter banks. When $V=\mathbb R^d$ and $G$ is compact, we establish that a suitable coorbit filter bank is injective and locally lower Lipschitz in the quotient metric at orbits of maximal dimension. Furthermore, when the orbit space $\mathbb S^{d-1}/G$ is a Riemannian orbifold, we show that a suitable coorbit filter bank is bi-Lipschitz in the quotient metric. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.14042 |
| رقم الأكسشن: | edsarx.2403.14042 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |