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...
Main Author: | Quellmalz, Michael |
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Other Authors: | Technische Universität Chemnitz, Fakultät für Mathematik |
Format: | Others |
Language: | English |
Published: |
Universitätsbibliothek Chemnitz
2016
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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 |
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