Preliminaries

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Description

102 7 Binomial means B

  k (x)  0 (x)

           1                                 
                                                  1    0 1  0
                 ( k (y)  0 (y))e ixy
                                             dy  2       k
          2 

for a.e. x R. Since

                     (x) dx   (0)  1 for each   0,

we have lim 0 1 0 0

as usual, and the required convergence can be seen from the integral expression

    B (H, K)X         ...

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