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Local non-injectivity for weighted Radon transforms
Stockholm University, Faculty of Science, Department of Mathematics.
2011 (English)In: Contemporary Mathematics, ISSN 0271-4132, Vol. 559, 39-47 p.Article in journal (Refereed) Published
##### Abstract [en]

A weighted plane Radon transform $R_{\rho}$ is considered, where $\rho(x, L)$ is a smooth positive function.  It is proved that the set of weight functions $\rho$, for which the map $f \mapsto R_{\rho} f$ is not locally injective, is dense in the space of smooth positive weight functions.

##### Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2011. Vol. 559, 39-47 p.
##### National Category
Mathematical Analysis
Mathematics
##### Identifiers
OAI: oai:DiVA.org:su-73002DiVA: diva2:504890
Available from: 2012-12-13 Created: 2012-02-20 Last updated: 2012-12-13Bibliographically approved

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Boman, Jan
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Department of Mathematics
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Contemporary Mathematics
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Mathematical Analysis