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  • 1
    Electronic Resource
    Electronic Resource
    Partial sums of orthonormal bases preserving positivity—And martingales (1998)
    Springer
    The journal of Fourier analysis and applications 4 (1998), S. 151-157 
    Details
    ISSN: 1531-5851
    Keywords: Primary 42C10 ; 42C20 ; secondary 60G46 ; Haar series ; martingale sums
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We characterize, for finite measure spaces, those orthonormal bases with the following positivity property: if f is a non-negative function, then the partial sums in the expansion of f are non-negative. The bases are necessarily generalized Haar functions and the partial sums are a martingale closed on the right by f.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02475986
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