4,267 research outputs found

    Fourier Analysis on Zn and Bh sets

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    A set A of positive integers is called a Bh set, if all sums ofh elements of A are different. In this paper we use basic properties ofFourier analysis on ZN and follow the style of Ben Green [4] to concludewith a different method, the upper bounds obtained by Jia [6], Chen [2] andGraham [5] with respect to the maximum cardinal that can have a Bh setcontained in the first N positive integers.  Un conjunto A de enteros positivos se llama un conjunto Bh, sitodas las sumas de h elementos de A son diferentes. En este artículo usamospropiedades básicas del análisis de Fourier sobre ZN y seguimos el estilo deBen Green [4] para deducir, con un método diferente, las cotas superioresobtenidas por Jia [6], Chen [2] y Graham [5] respecto al máximo cardinal quepuede tener un conjunto Bh contenido en los primeros N enteros positivos

    Fourier Analysis on Zn and Bh sets

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    A set A of positive integers is called a Bh set, if all sums ofh elements of A are different. In this paper we use basic properties ofFourier analysis on ZN and follow the style of Ben Green [4] to concludewith a different method, the upper bounds obtained by Jia [6], Chen [2] andGraham [5] with respect to the maximum cardinal that can have a Bh setcontained in the first N positive integers.  Un conjunto A de enteros positivos se llama un conjunto Bh, sitodas las sumas de h elementos de A son diferentes. En este artículo usamospropiedades básicas del análisis de Fourier sobre ZN y seguimos el estilo deBen Green [4] para deducir, con un método diferente, las cotas superioresobtenidas por Jia [6], Chen [2] y Graham [5] respecto al máximo cardinal quepuede tener un conjunto Bh contenido en los primeros N enteros positivos

    Análisis de Fourier sobre ZN y conjuntos Bh

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    A set A of positive integers is called a Bh set, if all sums ofh elements of A are different. In this paper we use basic properties ofFourier analysis on ZN and follow the style of Ben Green [4] to concludewith a different method, the upper bounds obtained by Jia [6], Chen [2] andGraham [5] with respect to the maximum cardinal that can have a Bh setcontained in the first N positive integers.  Un conjunto A de enteros positivos se llama un conjunto Bh, sitodas las sumas de h elementos de A son diferentes. En este artículo usamospropiedades básicas del análisis de Fourier sobre ZN y seguimos el estilo deBen Green [4] para deducir, con un método diferente, las cotas superioresobtenidas por Jia [6], Chen [2] y Graham [5] respecto al máximo cardinal quepuede tener un conjunto Bh contenido en los primeros N enteros positivos

    M-BH-Sigma relation in Sloan Digital Sky Survey flat-spectrum radio quasars

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    The relationship between the black hole mass and velocity dispersion indicated with [O iii] linewidth is investigated for a sample of 87 flat-spectrum radio quasars selected from the Sloan Digital Sky Survey Data Release 3 quasar catalogue. We found that the M-BH-Sigma([O III]) relation is different from the Tremaine et al. relation for nearby inactive galaxies, with a larger black hole mass at given velocity dispersion. There is no strong evidence of cosmology evolution in the M-BH-Sigma([O III]) relation up to z similar to 0.8. A significant correlation between the [O iii] luminosity and broad-line region (BLR) luminosity is found. When transferring the [O iii] luminosity to narrow-line region (NLR) luminosity, the BLR luminosity is, on average, larger than the NLR one by about one order of magnitude. We found a strong correlation between the synchrotron peak luminosity and NLR luminosity, which implies a tight relation between the jet physics and accretion process

    Análisis de Fourier sobre ZN y conjuntos Bh

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    Un conjunto A de enteros positivos se llama un conjunto Bh , si todas las sumas de h elementos de A son diferentes. En este artículo usamos propiedades básicas del análisis de Fourier sobre ZN y seguimos el estilo de Ben Green [4] para deducir, con un método diferente, las cotas superiores obtenidas por Jia [6], Chen [2] y Graham [5] respecto al máximo cardinal que puede tener un conjunto Bh contenido en los primeros N enteros positivos

    Interpolating sequences for H∞(BH)

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    We prove that under the extended Carleson’s condition, a sequence (xn) ⊂ BH is linear interpolating for H∞(BH) for an infinite dimensional Hilbert space H. In particular, we construct the interpolating functions for each sequence and find a bound for the constant of interpolation.The author is supported by Project MTM 2011-22457 (Ministerio de Economía y Competitividad, Spain) and Project P1-1B2014-35 (Universitat Jaume I, Spain
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