A generalization of the Funk–Radon transform to circles passing through a fixed point

The Funk–Radon transform assigns to a function on the two-sphere its mean values along all great circles. We consider the following generalization: we replace the great circles by the small circles being the intersection of the sphere with planes containing a common point ζ inside the sphere. If ζ i...

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Bibliographic Details
Main Author: Quellmalz, Michael
Other Authors: Technische Universität Chemnitz, Fakultät für Mathematik
Format: Others
Language:English
Published: Universitätsbibliothek Chemnitz 2016
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-192513
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-192513
http://www.qucosa.de/fileadmin/data/qucosa/documents/19251/Preprint_2015_17.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/19251/signatur.txt.asc