On Invertibility of the Radon Transform and Compressive Sensing

This thesis contains three articles. The first two concern inversion andlocal injectivity of the weighted Radon transform in the plane. The thirdpaper concerns two of the key results from compressive sensing.In Paper A we prove an identity involving three singular double integrals.This is then used...

Full description

Bibliographic Details
Main Author: Andersson, Joel
Format: Doctoral Thesis
Language:English
Published: KTH, Matematik (Avd.) 2014
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-141837
http://nbn-resolving.de/urn:isbn:978-91-7501-998-7