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  • 1
    Electronic Resource
    Electronic Resource
    Prediction in Orlicz spaces (1981)
    Springer
    Manuscripta mathematica 35 (1981), S. 91-103 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of σ-lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested σ-lattices, as occur in isotonic regression, are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01168450
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    Paper (German National Licenses)
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  • 2
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    Survival of Burgess Shale-type animals in a Middle Ordovician deep-water setting (2016)
    Geological Society of London
    Details
    Publication Date: 2016-07-05
    Description: Exceptional preservation of non-biomineralized arthropods, sponges and vermiform taxa occurs in the Darriwilian (Middle Ordovician) Llanfallteg Formation of South Wales, UK. The assemblage contains elements typical of Ordovician communities juxtaposed with those more commonly associated with Cambrian Konservat-Lagerstätten. This assemblage is preserved in rocks of a deep-marine succession dominated by fine-grained siliciclastic and volcaniclastic density-current deposits. Non-biomineralized taxa of Cambrian aspect are preserved as pyritized carbonaceous compressions on the spectrum of Burgess Shale-type preservation. Trilobites with phosphatized digestive structures have also been recovered. The assemblage of the Llanfallteg Formation Konservat-Lagerstätte demonstrates that some Burgess Shale-type faunal elements survived into the Middle Ordovician within cool, deep-water refugia in the Welsh Basin, offshore from communities dominated by typical Ordovician taxa. Supplementary material: Assemblage composition data and sedimentological images can be found at https://doi.org/10.6084/m9.figshare.c.2182218 .
    Print ISSN: 0016-7649
    Topics: Geosciences
    Published by Geological Society of London
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