Asymmetric uniqueness sets in $\ell^q$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917325154811904 |
|---|---|
| author | Limani, Adem Persson, Tomas |
| author_facet | Limani, Adem Persson, Tomas |
| contents | We exhibit an asymmetry phenomenon for uniqueness
sets in $\ell^q$. Specifically, we construct sets that do not
support measures with $\ell^q$-summable Fourier coefficients,
yet simultaneously support measures whose positive frequencies decay faster than polynomials. In
the language of Fourier uniqueness, this highlights a striking
divergence between the unilateral and bilateral $\ell^q$
uniqueness problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08482 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymmetric uniqueness sets in $\ell^q$ Limani, Adem Persson, Tomas Classical Analysis and ODEs Complex Variables 30H99, 42A63 We exhibit an asymmetry phenomenon for uniqueness sets in $\ell^q$. Specifically, we construct sets that do not support measures with $\ell^q$-summable Fourier coefficients, yet simultaneously support measures whose positive frequencies decay faster than polynomials. In the language of Fourier uniqueness, this highlights a striking divergence between the unilateral and bilateral $\ell^q$ uniqueness problems. |
| title | Asymmetric uniqueness sets in $\ell^q$ |
| topic | Classical Analysis and ODEs Complex Variables 30H99, 42A63 |
| url | https://arxiv.org/abs/2603.08482 |