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Oscillation of functions with a spectral gap
We prove an old conjecture on oscillation of functions that have a spectral gap at the origin. Suppose that the Fourier transform of a real measure f on the real line satisfies f̂(x) = 0 for x ∈ (–a, a). Then, when r → ∞, the asymptotic lower density of the sequence of sign changes of f on the inter...
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| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
National Academy of Sciences
2004
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| Assuntos: | |
| Acesso em linha: | https://ncbi.nlm.nih.gov/pmc/articles/PMC395890/ https://ncbi.nlm.nih.gov/pubmed/15079072 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0302874101 |
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