Produção Nacional
Revisado por pares
Early Embryo Development in Mares: Proteomics of Uterine Fluid
2018; Elsevier BV; Volume: 66; Linguagem: Inglês
10.1016/j.jevs.2018.05.078
ISSN1542-7412
AutoresH.B.A. Bastos, Giovani Casanova Camozzato, María Nohemí González Martínez, Camilo Elber Vital, Pedro Marcus Pereira Vidigal, Edvaldo Barros, Ricardo Macedo Gregory, Maria Inês Mascarenhas Jobim, Rodrigo Costa Mattos,
Tópico(s)Estrogen and related hormone effects
ResumoA finite Borel measure μ in Rd is called a frame-spectral measure if it admits an exponential frame (or Fourier frame) for L2(μ). It has been conjectured that a frame-spectral measure must be translationally absolutely continuous, which is a criterion describing the local uniformity of a measure on its support. In this paper, we show that if any measures ν and λ without atoms whose supports form a packing pair, then ν⁎λ+δt⁎ν is translationally singular and it does not admit any Fourier frame. In particular, we show that the sum of one-fourth and one-sixteenth Cantor measure μ4+μ16 does not admit any Fourier frame. We also interpolate the mixed-type frame-spectral measures studied by Lev and the measure we studied. In doing so, we demonstrate a discontinuity behavior: For any anticlockwise rotation mapping Rθ with θ≠±π/2, the two-dimensional measure ρθ(⋅):=(μ4×δ0)(⋅)+(δ0×μ16)(Rθ−1⋅), supported on the union of x-axis and y=(cotθ)x, always admit a Fourier frame. Furthermore, we can find {e2πi〈λ,x〉}λ∈Λθ such that it forms a Fourier frame for ρθ with frame bounds independent of θ. Nonetheless, ρ±π/2 does not admit any Fourier frame.
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