Change search

A local uniqueness theorem for  weighted Radon transforms
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)In: Inverse Problems and Imaging, ISSN 1930-8337, Vol. 4, no 4, 631-637 p.Article in journal (Refereed) Published
##### Abstract [en]

We consider a weighted Radon transform in the plane, $\displaystyle{R}_{{m}}{\left(\xi,\eta\right)}=\int_{{{R}}}{f{{\left({x},\xi{x}+\eta\right)}}}{m}{\left({x},\xi,\eta\right)}{\left.{d}{x}\right.}$, where $\displaystyle{m}{\left({x},\xi,\eta\right)}$ is a smooth, positive function. Using an extension of an argument of Strichartz we prove a local injectivity theorem for $\displaystyle{R}_{{m}}$ for essentially the same class of $\displaystyle{m}{\left({x},\xi,\eta\right)}$ that was considered by Gindikin in his article in this issue.

##### Place, publisher, year, edition, pages
American institute of mathematical sciences , 2010. Vol. 4, no 4, 631-637 p.
##### National Category
Mathematical Analysis
Mathematics
##### Identifiers
ISI: 000282648200006OAI: oai:DiVA.org:su-35720DiVA: diva2:287827
Available from: 2010-01-19 Created: 2010-01-19 Last updated: 2013-03-20Bibliographically approved

#### Open Access in DiVA

No full text

Publisher's full text

#### Search in DiVA

Boman, Jan
##### By organisation
Department of Mathematics
##### In the same journal
Inverse Problems and Imaging
##### On the subject
Mathematical Analysis