14 research outputs found

    Some extremal functions in Fourier analysis, III

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    We obtain the best approximation in L1(R)L^1(\R), by entire functions of exponential type, for a class of even functions that includes eλxe^{-\lambda|x|}, where λ>0\lambda >0, logx\log |x| and xα|x|^{\alpha}, where 1<α<1-1 < \alpha < 1. We also give periodic versions of these results where the approximating functions are trigonometric polynomials of bounded degree.Comment: 26 pages. Submitte

    On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N

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    In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of \Co^{N}. As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein type inequalities on transcendental curves in \Co^{2}.Comment: minor changes in the formulation and the proof of Lemma 8.

    Uses of drama in criminal justice

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    This three part article outlines the place and extent of drama, and of techniques drawn from it, in the criminal justice system of England and Wales; describes some of the organisations involved in its production; displays some of the arguments put for it and presents some evidence of its effectiveness
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