Nonuniqueness for the Radon transform-Reference-Cited by-同舟云学术

Nonuniqueness for the Radon transform

Published:1993 Issue:1 Volume:117 Page:175-178
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Armitage D. H.,Goldstein M.

Abstract

There exists a nonconstant harmonic function h h on R N {\mathbb {R}^N} , where N ⩾ 2 N \geqslant 2 , such that ∫ P | h | > + ∞ {\smallint _P}|h| > + \infty and ∫ P h = 0 {\smallint _P}h = 0 for every ( N − 1 ) (N - 1) -dimensional hyperplane P P .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-117-01/S0002-9939-1993-1106177-3/S0002-9939-1993-1106177-3.pdf

Reference5 articles.

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3. Better than uniform approximation on closed sets by harmonic functions with singularities;Armitage, D. H.;Proc. London Math. Soc. (3),1990

4. Progress in Mathematics;Helgason, Sigurdur,1999

5. Uniqueness and nonuniqueness for the Radon transform;Zalcman, Lawrence;Bull. London Math. Soc.,1982

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