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Pointwise convergence of lacunary spherical means
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Pointwise convergence of lacunary spherical means
classification
math.CA
keywords
lacunarymeanssphericalalmostargumentcaseconvergeconvergence
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We show that if $f$ is locally in $L\log\log L$ then the lacunary spherical means converge almost everywhere. The argument given here is a model case for more general results on singular maximal functions and Radon transforms (see ref. 6).
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