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- W2149705945 abstract "The fine structure of the temperature power spectrum of the cosmic microwave background (CMB) radiation is investigated in the presently accessible multipole range up to l ∼ 104. The temperature fluctuations are reproduced by an isotropic Gaussian random field on the unit sphere, whose Green function is defined by a Hermitian matrix kernel inferred from the data sets by way of spectral fits. The reconstruction of the temperature autocorrelation function from the measured multipole moments Cl is a classical inverse problem, which does not require specification of cosmic evolution equations for the photon density. The scale-invariant correlation function admits a multipole expansion in zonal spherical harmonics. The multipole coefficients are obtained as averages over Hermitian spectral matrices determining the angular power spectrum of the spherical random field. The low-l multipole regime of the CMB temperature fluctuations is composed of overlapping Gaussian peaks, followed by an intermediate oscillatory regime manifested by a modulated exponentially decaying Cl slope. The high-l regime above l ∼ 4000 comprises a power-law ascent with exponential cut-off. The fine structure of the Gaussian, oscillatory and high-l regimes is reproduced by zooming into the respective l intervals on linear and logarithmic scales." @default.
- W2149705945 created "2016-06-24" @default.
- W2149705945 creator A5072780354 @default.
- W2149705945 date "2012-11-19" @default.
- W2149705945 modified "2023-10-05" @default.
- W2149705945 title "Multipole fine structure of the cosmic microwave background: reconstruction of the temperature power spectrum" @default.
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- W2149705945 doi "https://doi.org/10.1111/j.1365-2966.2012.22024.x" @default.
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