Busemann-Petty type problems on complex vector spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910419166167040 |
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| author | Ellmeyer, Simon Hofstätter, Georg C. |
| author_facet | Ellmeyer, Simon Hofstätter, Georg C. |
| contents | Busemann-Petty type problems for the recently introduced complex projection, centroid and $L_p$-intersection body operators are examined. Moreover, it is shown that, as their real counterparts, they can be linked to the spherical Fourier transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Busemann-Petty type problems on complex vector spaces Ellmeyer, Simon Hofstätter, Georg C. Metric Geometry Functional Analysis 52A38, 51M15, 52A40 Busemann-Petty type problems for the recently introduced complex projection, centroid and $L_p$-intersection body operators are examined. Moreover, it is shown that, as their real counterparts, they can be linked to the spherical Fourier transform. |
| title | Busemann-Petty type problems on complex vector spaces |
| topic | Metric Geometry Functional Analysis 52A38, 51M15, 52A40 |
| url | https://arxiv.org/abs/2404.05630 |