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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, E-ISSN 1098-3627, 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.
Keyword [en]
weighted Radon transform, local injectivity
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-73002OAI: oai:DiVA.org:su-73002DiVA: diva2:504890
Available from: 2012-12-13 Created: 2012-02-20 Last updated: 2017-12-07Bibliographically approved

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CiteExportLink to record
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