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An application to probability laws of the noncontinuity of the inverse Radon transform

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  • Mayer-Wolf, Eddy

Abstract

While any [latin small letter f with hook][set membership, variant]L1(n) is uniquely determined by its Radon transform, we show in this note that the inverse transform is not continuous on L[infinity],1(Sn-1x) and provide a probabilistic interpretation: the Cramer--Wold device fails when convergence in total variation replaces weak convergence.

Suggested Citation

  • Mayer-Wolf, Eddy, 1990. "An application to probability laws of the noncontinuity of the inverse Radon transform," Statistics & Probability Letters, Elsevier, vol. 10(1), pages 87-90, June.
    • Handle: RePEc:eee:stapro:v:10:y:1990:i:1:p:87-90
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