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      "statement": "# Radon: determining functions from integrals over manifolds\n\nEstablished inversion and uniqueness results for recovering a function from its line integrals under stated regularity conditions and discussed extensions to other geometries and dimensions.\n\n## Scientific scope\n\nThe record is Radon's sole-author 1917 paper and its stated hypotheses. It does not absorb later generalized Radon transforms, numerical reconstruction algorithms, computed tomography hardware or every modern function-space extension.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nJohann Radon\n\nThe named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.\n\n\n\n## Original sources\n\n- [Saxon Academy archive record for Radon 1917 paper](https://archiv.saw-leipzig.de/saw-archive/publikationen-quellen/publikationen/berichte-ueber-die-verhandlungen-der-koeniglich-saechsischen-gesellschaft-der-wissenschaften-zu-leipzig-mathematisch-physische-klasse-bd-1/berichte-ueber-die-verhandlungen-der-koeniglich-saechsischen-gesellschaft-der-wissenschaften-zu-leipzig-mathematisch-physische-klasse-bd-69/ueber-die-bestimmung-von-funktionen-durch-ihre-integralwerte-laengs-gewisser-mannigfaltigkeiten)\n- [MIT-hosted English translation of Radon 1917 paper](https://people.csail.mit.edu/bkph/other/Radon_English_1917)\n",
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      "title": "Radon: determining functions from integrals over manifolds"
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