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Titlebook: Observational Tests of Cosmological Inflation; T. Shanks,A. J. Banday,A. W. Wolfendale Book 1991 Kluwer Academic Publishers 1991 Big Bang.

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B. J. Carrned measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of .functions whose partial derivatives are measures in the sense of distributions. Just as absolutely continuous functions form a subclass of BV functions, so it is that
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M. W. Feastl derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of f
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Classicality of Density Perturbations in the Early Universe,ons for obtaining classical density perturbations. We then solve a simple toy model and show that the original prescriptions can be justified by applying decoherence arguments similar to those used in quantum cosmology.
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The Luminosity-Line-Width Relations and the Value of Ho,istance to the Virgo Cluster. The absolute calibration is examined and it appears that the technique is now limited by the uncertainty in the . distance scale. The relation is applied to samples from the Virgo and Ursa Major clusters and the value of H. is determined. The cosmological time-scale test is used to examine the inflationary hypothesis.
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New , Results for Coma Ellipticals,und to vary by only -8% α10% from Coma’s core to a projected distance of ~4.. Mpc. The projected galaxian density from the core to our outermost ellipticals decreases by a factor of over 150. Thus over a very wide range of galaxian densities we find no evidence for a significant zero-point variation in the . relation.
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Distances to Virgo and Beyond,wards the Galactic poles. A new model for the local flow based on the QDOT IRAS galaxy redshift survey is applied to the analysis of the Hubble diagram. The implications of the current best estimates of H. and Ω. for inflation are discussed.
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