Simply connectedness of spaces of tight frames
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917501377445888 |
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| author | Mare, Augustin-Liviu |
| author_facet | Mare, Augustin-Liviu |
| contents | Complex tight frames can be canonically viewed as elements of a complex Stiefel manifold. We present a class of spaces of such frames which are simply connected relative to the subspace topology. To this class belongs the space of finite unit-norm tight frames. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simply connectedness of spaces of tight frames Mare, Augustin-Liviu Functional Analysis Differential Geometry 14M15, 42C15 Complex tight frames can be canonically viewed as elements of a complex Stiefel manifold. We present a class of spaces of such frames which are simply connected relative to the subspace topology. To this class belongs the space of finite unit-norm tight frames. |
| title | Simply connectedness of spaces of tight frames |
| topic | Functional Analysis Differential Geometry 14M15, 42C15 |
| url | https://arxiv.org/abs/2508.02484 |