Are MSF wavelets minimally supported?
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912719890808832 |
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| author | Bownik, Marcin Rzeszotnik, Ziemowit Speegle, Darrin |
| author_facet | Bownik, Marcin Rzeszotnik, Ziemowit Speegle, Darrin |
| contents | Larson's problem asks ``Must the support of the Fourier transform of a wavelet contain a wavelet set?". We give an affirmative answer to a non-measurable variant of this question by proving that the Fourier transform of a wavelet must contain a possibly non-measurable wavelet set. We also provide background results on Larson's problem and propose two new related problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Are MSF wavelets minimally supported? Bownik, Marcin Rzeszotnik, Ziemowit Speegle, Darrin Classical Analysis and ODEs 42C40 Larson's problem asks ``Must the support of the Fourier transform of a wavelet contain a wavelet set?". We give an affirmative answer to a non-measurable variant of this question by proving that the Fourier transform of a wavelet must contain a possibly non-measurable wavelet set. We also provide background results on Larson's problem and propose two new related problems. |
| title | Are MSF wavelets minimally supported? |
| topic | Classical Analysis and ODEs 42C40 |
| url | https://arxiv.org/abs/2507.09818 |