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On local injectivity for weighted Radon transforms
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: The mathematical legacy of Leon Ehrenpreis / [ed] Irene Sabadini, Daniele C. Struppa, Milano: Springer Milan, 2012, 45-60 p.Chapter in book (Refereed)
Abstract [en]

We consider a class of weighted plane generalized Radon transforms Rf(γ)=∫f(x,u(ξ,η,x))m(ξ,η,x) dx, where the curve γ=γ(ξ,η) is defined by y=u(ξ,η,x), and m(ξ,η,x) is a given positive weight function. We prove local injectivity for this transform across a given curve γ0 near a given point (x0,y0) on γ0 for classes of curves and weight functions that are invariant under arbitrary smooth coordinate transformations in the plane.

Place, publisher, year, edition, pages
Milano: Springer Milan, 2012. 45-60 p.
Series
Springer proceedings in mathematics
Keyword [en]
weighted Radon transform, generalized Radon transform, local injectivity
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-73326DOI: 10.1007/978-88-470-1947-8_5ISBN: 978-88-470-1946-1 (print)ISBN: 88-470-1946-X (print)OAI: oai:DiVA.org:su-73326DiVA: diva2:504287
Available from: 2012-02-20 Created: 2012-02-20 Last updated: 2012-12-11Bibliographically approved

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CiteExportLink to record
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  • apa
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